0.13/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.13/0.13 % Command : run_vampire %s %d THM 0.13/0.34 % Computer : n023.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Wed Jul 30 06:32:19 EDT 2025 0.13/0.34 % CPUTime : 0.13/0.36 This is a TFF_ problem 0.13/0.36 Running first-order theorem proving 0.13/0.36 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 120 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.21/0.42 % (13789)Running in auto input_syntax mode. Trying TPTP 0.21/0.42 % (13795)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3500648077:s2a=on:i=7:rtra=on:inst=on_1199 on theBenchmark for (1199ds/7Mi) 0.21/0.43 % (13795)Instruction limit reached! 0.21/0.43 % (13795)------------------------------ 0.21/0.43 % (13795)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.21/0.43 % (13795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.21/0.43 % (13795)Termination reason: Instruction limit 0.21/0.43 % (13795)Termination phase: Saturation 0.21/0.43 0.21/0.43 % (13795)Time elapsed: 0.004 s 0.21/0.43 % (13795)Peak memory usage: 8 MB 0.21/0.43 % (13795)Instructions burned: 10 (million) 0.21/0.45 % (13789)Running in auto input_syntax mode. Trying TPTP 0.21/0.45 % (13792)dis+1002_16:1_to=lpo:sil=64000:norm_ineq=on:sas=z3:si=on:gve=force:uwa=one_side_constant:random_seed=3650696330:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_1199 on theBenchmark for (1199ds/12Mi) 0.21/0.45 % (13789)Running in auto input_syntax mode. Trying TPTP 0.21/0.45 % (13798)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3731712492:i=33:rtra=on_1199 on theBenchmark for (1199ds/33Mi) 0.21/0.45 % (13789)Running in auto input_syntax mode. Trying TPTP 0.21/0.45 % (13793)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2884571474:i=307:kws=precedence:nm=0:rtra=on_1199 on theBenchmark for (1199ds/307Mi) 0.21/0.45 % (13789)Running in auto input_syntax mode. Trying TPTP 0.21/0.45 % (13796)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=95253571:i=4:rtra=on_1199 on theBenchmark for (1199ds/4Mi) 0.21/0.45 % (13789)Running in auto input_syntax mode. Trying TPTP 0.21/0.45 % (13794)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3753917892:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_1199 on theBenchmark for (1199ds/201Mi) 0.21/0.45 % (13796)Instruction limit reached! 0.21/0.45 % (13796)------------------------------ 0.21/0.45 % (13796)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.21/0.45 % (13796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.21/0.45 % (13796)Termination reason: Instruction limit 0.21/0.45 % (13796)Termination phase: Saturation 0.21/0.45 0.21/0.45 % (13796)Time elapsed: 0.004 s 0.21/0.45 % (13796)Peak memory usage: 8 MB 0.21/0.45 % (13796)Instructions burned: 6 (million) 0.21/0.45 % (13789)Running in auto input_syntax mode. Trying TPTP 0.21/0.45 % (13797)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2252784466:i=46:rtra=on_1199 on theBenchmark for (1199ds/46Mi) 0.21/0.46 % (13792)Instruction limit reached! 0.21/0.46 % (13792)------------------------------ 0.21/0.46 % (13792)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.21/0.46 % (13792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.21/0.46 % (13792)Termination reason: Instruction limit 0.21/0.46 % (13792)Termination phase: Saturation 0.21/0.46 0.21/0.46 % (13792)Time elapsed: 0.018 s 0.21/0.46 % (13792)Peak memory usage: 28 MB 0.21/0.46 % (13792)Instructions burned: 12 (million) 0.21/0.48 % (13789)Running in auto input_syntax mode. Trying TPTP 0.21/0.48 % (13823)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1947497374:st=5:i=14:sd=10:afp=4000:rtra=on:ss=axioms:rawr=on_1199 on theBenchmark for (1199ds/14Mi) 0.21/0.48 % (13798)Instruction limit reached! 0.21/0.48 % (13798)------------------------------ 0.21/0.48 % (13798)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.21/0.48 % (13798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.21/0.48 % (13798)Termination reason: Instruction limit 0.21/0.48 % (13798)Termination phase: Saturation 0.21/0.48 0.21/0.48 % (13798)Time elapsed: 0.032 s 0.21/0.48 % (13798)Peak memory usage: 29 MB 0.21/0.48 % (13798)Instructions burned: 33 (million) 0.21/0.49 % (13797)Instruction limit reached! 0.21/0.49 % (13797)------------------------------ 0.21/0.49 % (13797)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.21/0.49 % (13797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.21/0.49 % (13797)Termination reason: Instruction limit 0.21/0.49 % (13797)Termination phase: Saturation 0.21/0.49 0.21/0.49 % (13797)Time elapsed: 0.035 s 0.21/0.49 % (13797)Peak memory usage: 29 MB 0.21/0.49 % (13797)Instructions burned: 48 (million) 0.21/0.49 % (13823)Instruction limit reached! 0.21/0.49 % (13823)------------------------------ 0.21/0.49 % (13823)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.21/0.49 % (13823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.21/0.49 % (13823)Termination reason: Instruction limit 0.21/0.49 % (13823)Termination phase: Saturation 0.21/0.49 0.21/0.49 % (13823)Time elapsed: 0.016 s 0.21/0.49 % (13823)Peak memory usage: 8 MB 0.21/0.49 % (13823)Instructions burned: 56 (million) 0.21/0.50 % (13793)Refutation not found, incomplete strategy% (13793)------------------------------ 0.21/0.50 % (13793)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.21/0.50 % (13793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.21/0.50 % (13793)Termination reason: Refutation not found, incomplete strategy 0.21/0.50 0.21/0.50 % (13793)Time elapsed: 0.058 s 0.21/0.50 % (13793)Peak memory usage: 30 MB 0.21/0.50 % (13793)Instructions burned: 99 (million) 0.21/0.50 % (13793)------------------------------ 0.21/0.50 % (13793)------------------------------ 0.21/0.51 % (13789)Running in auto input_syntax mode. Trying TPTP 0.21/0.51 % (13838)dis+1011_2:1_to=kbo:sil=128000:tgt=full:norm_ineq=on:fde=none:si=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=1998013794:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_1199 on theBenchmark for (1199ds/29Mi) 0.21/0.52 % (13838)Instruction limit reached! 0.21/0.52 % (13838)------------------------------ 0.21/0.52 % (13838)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.21/0.52 % (13838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.21/0.52 % (13838)Termination reason: Instruction limit 0.21/0.52 % (13838)Termination phase: Saturation 0.21/0.52 0.21/0.52 % (13838)Time elapsed: 0.012 s 0.21/0.52 % (13838)Peak memory usage: 8 MB 0.21/0.52 % (13838)Instructions burned: 31 (million) 0.21/0.53 % (13789)Running in auto input_syntax mode. Trying TPTP 0.21/0.53 % (13850)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=4208062810:i=24:canc=force:rtra=on_1198 on theBenchmark for (1198ds/24Mi) 0.21/0.53 % (13794)Instruction limit reached! 0.21/0.53 % (13794)------------------------------ 0.21/0.53 % (13794)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.21/0.53 % (13794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.21/0.53 % (13794)Termination reason: Instruction limit 0.21/0.53 % (13794)Termination phase: Saturation 0.21/0.53 0.21/0.53 % (13794)Time elapsed: 0.086 s 0.21/0.53 % (13794)Peak memory usage: 29 MB 0.21/0.53 % (13794)Instructions burned: 204 (million) 0.21/0.53 % (13789)Running in auto input_syntax mode. Trying TPTP 0.21/0.53 % (13859)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=2843411614:i=85:gtgl=4:rtra=on:gtg=exists_sym_1198 on theBenchmark for (1198ds/85Mi) 0.21/0.53 % (13789)Running in auto input_syntax mode. Trying TPTP 0.21/0.53 % (13857)ott+1010_8_to=lpo:sil=128000:norm_ineq=on:si=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=3475981559:i=27:canc=cautious:fsr=off:rtra=on:uhcvi=off_1198 on theBenchmark for (1198ds/27Mi) 0.21/0.54 % (13850)Instruction limit reached! 0.21/0.54 % (13850)------------------------------ 0.21/0.54 % (13850)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.21/0.54 % (13850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.21/0.54 % (13850)Termination reason: Instruction limit 0.21/0.54 % (13850)Termination phase: Saturation 0.21/0.54 0.21/0.54 % (13850)Time elapsed: 0.010 s 0.21/0.54 % (13850)Peak memory usage: 8 MB 0.21/0.54 % (13850)Instructions burned: 27 (million) 0.21/0.54 % (13789)Running in auto input_syntax mode. Trying TPTP 0.21/0.54 % (13846)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2952325613:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_1199 on theBenchmark for (1199ds/16Mi) 0.21/0.54 % (13857)Instruction limit reached! 0.21/0.54 % (13857)------------------------------ 0.21/0.54 % (13857)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.21/0.54 % (13857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.21/0.54 % (13857)Termination reason: Instruction limit 0.21/0.54 % (13857)Termination phase: Saturation 0.21/0.54 0.21/0.54 % (13857)Time elapsed: 0.009 s 0.21/0.54 % (13857)Peak memory usage: 8 MB 0.21/0.54 % (13857)Instructions burned: 30 (million) 0.21/0.55 % (13789)Running in auto input_syntax mode. Trying TPTP 0.21/0.55 % (13864)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=1950524168:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_1198 on theBenchmark for (1198ds/2Mi) 0.21/0.55 % (13864)Instruction limit reached! 0.21/0.55 % (13864)------------------------------ 0.21/0.55 % (13864)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.21/0.55 % (13864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.21/0.55 % (13864)Termination reason: Instruction limit 0.21/0.55 % (13864)Termination phase: Saturation 0.21/0.55 0.21/0.55 % (13864)Time elapsed: 0.001 s 0.21/0.55 % (13864)Peak memory usage: 7 MB 0.21/0.55 % (13864)Instructions burned: 2 (million) 0.21/0.55 % (13846)Instruction limit reached! 0.21/0.55 % (13846)------------------------------ 0.21/0.55 % (13846)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.21/0.55 % (13846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.21/0.55 % (13846)Termination reason: Instruction limit 0.21/0.55 % (13846)Termination phase: Saturation 0.21/0.55 0.21/0.55 % (13846)Time elapsed: 0.010 s 0.21/0.55 % (13846)Peak memory usage: 8 MB 0.21/0.55 % (13846)Instructions burned: 16 (million) 0.21/0.56 % (13859)Instruction limit reached! 0.21/0.56 % (13859)------------------------------ 0.21/0.56 % (13859)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.21/0.56 % (13859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.21/0.56 % (13859)Termination reason: Instruction limit 0.21/0.56 % (13859)Termination phase: Saturation 0.21/0.56 0.21/0.56 % (13859)Time elapsed: 0.023 s 0.21/0.56 % (13859)Peak memory usage: 8 MB 0.21/0.56 % (13859)Instructions burned: 88 (million) 0.21/0.56 % (13789)Running in auto input_syntax mode. Trying TPTP 0.21/0.56 % (13872)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=2192749352:i=181:rtra=on:ss=axioms:ev=cautious_1198 on theBenchmark for (1198ds/181Mi) 1.48/0.58 % (13789)Running in auto input_syntax mode. Trying TPTP 1.48/0.58 % (13880)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=3775791081:i=4:ep=RST:ins=2:rtra=on_1198 on theBenchmark for (1198ds/4Mi) 1.48/0.58 % (13880)Instruction limit reached! 1.48/0.58 % (13880)------------------------------ 1.48/0.58 % (13880)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.48/0.58 % (13880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.48/0.58 % (13880)Termination reason: Instruction limit 1.48/0.58 % (13880)Termination phase: Saturation 1.48/0.58 1.48/0.58 % (13880)Time elapsed: 0.002 s 1.48/0.58 % (13880)Peak memory usage: 8 MB 1.48/0.58 % (13880)Instructions burned: 5 (million) 1.48/0.58 % (13789)Running in auto input_syntax mode. Trying TPTP 1.48/0.58 % (13883)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=1406533350:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_1198 on theBenchmark for (1198ds/66Mi) 1.62/0.59 % (13872)Refutation not found, incomplete strategy% (13872)------------------------------ 1.62/0.59 % (13872)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.62/0.59 % (13872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.62/0.59 % (13872)Termination reason: Refutation not found, incomplete strategy 1.62/0.59 1.62/0.59 % (13872)Time elapsed: 0.023 s 1.62/0.59 % (13872)Peak memory usage: 9 MB 1.62/0.59 % (13872)Instructions burned: 64 (million) 1.62/0.59 % (13872)------------------------------ 1.62/0.59 % (13872)------------------------------ 1.62/0.59 % (13789)Running in auto input_syntax mode. Trying TPTP 1.62/0.59 % (13889)lrs+10_1_thi=all:si=on:fd=off:random_seed=527225641:i=53:rtra=on:gtg=all_1198 on theBenchmark for (1198ds/53Mi) 1.62/0.60 % (13789)Running in auto input_syntax mode. Trying TPTP 1.62/0.60 % (13894)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=4238609379:i=2:doe=on:canc=force:asg=cautious:rtra=on_1198 on theBenchmark for (1198ds/2Mi) 1.62/0.60 % (13894)Instruction limit reached! 1.62/0.60 % (13894)------------------------------ 1.62/0.60 % (13894)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.62/0.60 % (13894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.62/0.60 % (13894)Termination reason: Instruction limit 1.62/0.60 % (13894)Termination phase: Saturation 1.62/0.60 1.62/0.60 % (13894)Time elapsed: 0.001 s 1.62/0.60 % (13894)Peak memory usage: 7 MB 1.62/0.60 % (13894)Instructions burned: 2 (million) 1.62/0.60 % (13789)Running in auto input_syntax mode. Trying TPTP 1.62/0.60 % (13893)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=1575640650:st=3:i=2:rtra=on:ss=axioms_1198 on theBenchmark for (1198ds/2Mi) 1.62/0.60 % (13893)Instruction limit reached! 1.62/0.60 % (13893)------------------------------ 1.62/0.60 % (13893)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.62/0.60 % (13893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.62/0.60 % (13893)Termination reason: Instruction limit 1.62/0.60 % (13893)Termination phase: Saturation 1.62/0.60 1.62/0.60 % (13893)Time elapsed: 0.001 s 1.62/0.60 % (13893)Peak memory usage: 7 MB 1.62/0.60 % (13893)Instructions burned: 2 (million) 1.62/0.62 % (13889)Instruction limit reached! 1.62/0.62 % (13889)------------------------------ 1.62/0.62 % (13889)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.62/0.62 % (13889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.62/0.62 % (13889)Termination reason: Instruction limit 1.62/0.62 % (13889)Termination phase: Saturation 1.62/0.62 1.62/0.62 % (13889)Time elapsed: 0.031 s 1.62/0.62 % (13889)Peak memory usage: 28 MB 1.62/0.62 % (13889)Instructions burned: 55 (million) 1.62/0.62 % (13883)Instruction limit reached! 1.62/0.62 % (13883)------------------------------ 1.62/0.62 % (13883)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.62/0.62 % (13883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.62/0.62 % (13883)Termination reason: Instruction limit 1.62/0.62 % (13883)Termination phase: Saturation 1.62/0.62 1.62/0.62 % (13883)Time elapsed: 0.040 s 1.62/0.62 % (13883)Peak memory usage: 46 MB 1.62/0.62 % (13883)Instructions burned: 67 (million) 1.62/0.62 % (13789)Running in auto input_syntax mode. Trying TPTP 1.62/0.62 % (13904)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=910012195:i=127:doe=on:rtra=on_1197 on theBenchmark for (1197ds/127Mi) 1.85/0.63 % (13789)Running in auto input_syntax mode. Trying TPTP 1.85/0.63 % (13892)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=782482632:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_1198 on theBenchmark for (1198ds/8Mi) 1.85/0.63 % (13892)Instruction limit reached! 1.85/0.63 % (13892)------------------------------ 1.85/0.63 % (13892)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.85/0.63 % (13892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.85/0.63 % (13892)Termination reason: Instruction limit 1.85/0.63 % (13892)Termination phase: Saturation 1.85/0.63 1.85/0.63 % (13892)Time elapsed: 0.005 s 1.85/0.63 % (13892)Peak memory usage: 8 MB 1.85/0.63 % (13892)Instructions burned: 8 (million) 1.85/0.63 % (13789)Running in auto input_syntax mode. Trying TPTP 1.85/0.63 % (13907)dis+10_1_si=on:random_seed=3177552498:i=10:ep=R:rtra=on_1197 on theBenchmark for (1197ds/10Mi) 1.85/0.64 % (13907)Instruction limit reached! 1.85/0.64 % (13907)------------------------------ 1.85/0.64 % (13907)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.85/0.64 % (13907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.85/0.64 % (13907)Termination reason: Instruction limit 1.85/0.64 % (13907)Termination phase: Saturation 1.85/0.64 1.85/0.64 % (13907)Time elapsed: 0.004 s 1.85/0.64 % (13907)Peak memory usage: 7 MB 1.85/0.64 % (13907)Instructions burned: 12 (million) 1.90/0.64 % (13789)Running in auto input_syntax mode. Trying TPTP 1.90/0.64 % (13913)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=412512622:i=26:canc=cautious:av=off:rtra=on_1197 on theBenchmark for (1197ds/26Mi) 1.90/0.64 % (13913)Refutation not found, incomplete strategy% (13913)------------------------------ 1.90/0.64 % (13913)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.90/0.64 % (13913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.90/0.64 % (13913)Termination reason: Refutation not found, incomplete strategy 1.90/0.64 1.90/0.64 % (13913)Time elapsed: 0.001 s 1.90/0.64 % (13913)Peak memory usage: 8 MB 1.90/0.64 % (13913)Instructions burned: 3 (million) 1.90/0.64 % (13913)------------------------------ 1.90/0.64 % (13913)------------------------------ 1.90/0.65 % (13789)Running in auto input_syntax mode. Trying TPTP 1.90/0.65 % (13917)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=1795080399:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:sgt=32:ev=off_1197 on theBenchmark for (1197ds/35Mi) 1.90/0.66 % (13917)Instruction limit reached! 1.90/0.66 % (13917)------------------------------ 1.90/0.66 % (13917)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.90/0.66 % (13917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.90/0.66 % (13917)Termination reason: Instruction limit 1.90/0.66 % (13917)Termination phase: Saturation 1.90/0.66 1.90/0.66 % (13917)Time elapsed: 0.014 s 1.90/0.66 % (13917)Peak memory usage: 8 MB 1.90/0.66 % (13917)Instructions burned: 36 (million) 1.90/0.66 % (13789)Running in auto input_syntax mode. Trying TPTP 1.90/0.66 % (13921)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=638088378:i=2:fsr=off:rtra=on:inst=on_1197 on theBenchmark for (1197ds/2Mi) 1.90/0.66 % (13921)Instruction limit reached! 1.90/0.66 % (13921)------------------------------ 1.90/0.66 % (13921)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.90/0.66 % (13921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.90/0.66 % (13921)Termination reason: Instruction limit 1.90/0.66 % (13921)Termination phase: Saturation 1.90/0.66 1.90/0.66 % (13921)Time elapsed: 0.001 s 1.90/0.66 % (13921)Peak memory usage: 7 MB 1.90/0.66 % (13921)Instructions burned: 2 (million) 1.90/0.67 % (13789)Running in auto input_syntax mode. Trying TPTP 1.90/0.67 % (13924)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:abs=on:uwa=off:s2agt=16:random_seed=1037168001:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_1197 on theBenchmark for (1197ds/8Mi) 1.90/0.67 % (13924)Instruction limit reached! 1.90/0.67 % (13924)------------------------------ 1.90/0.67 % (13924)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.90/0.67 % (13924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.90/0.67 % (13924)Termination reason: Instruction limit 1.90/0.67 % (13924)Termination phase: Saturation 1.90/0.67 1.90/0.67 % (13924)Time elapsed: 0.004 s 1.90/0.67 % (13924)Peak memory usage: 8 MB 1.90/0.67 % (13924)Instructions burned: 10 (million) 1.90/0.68 % (13904)Instruction limit reached! 1.90/0.68 % (13904)------------------------------ 1.90/0.68 % (13904)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.90/0.68 % (13904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.90/0.68 % (13904)Termination reason: Instruction limit 1.90/0.68 % (13904)Termination phase: Saturation 1.90/0.68 1.90/0.68 % (13904)Time elapsed: 0.052 s 1.90/0.68 % (13904)Peak memory usage: 29 MB 1.90/0.68 % (13904)Instructions burned: 130 (million) 1.90/0.68 % (13789)Running in auto input_syntax mode. Trying TPTP 1.90/0.68 % (13930)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=3661657519:i=370:ep=RS:fsr=off:rtra=on_1197 on theBenchmark for (1197ds/370Mi) 1.90/0.68 % (13789)Running in auto input_syntax mode. Trying TPTP 1.90/0.68 % (13932)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=935993162:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_1197 on theBenchmark for (1197ds/13Mi) 1.90/0.68 % (13789)Running in auto input_syntax mode. Trying TPTP 1.90/0.68 % (13934)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=3338945531:i=226:rtra=on:gtg=position:ss=axioms_1197 on theBenchmark for (1197ds/226Mi) 1.90/0.69 % (13932)Instruction limit reached! 1.90/0.69 % (13932)------------------------------ 1.90/0.69 % (13932)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.90/0.69 % (13932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.90/0.69 % (13932)Termination reason: Instruction limit 1.90/0.69 % (13932)Termination phase: Saturation 1.90/0.69 1.90/0.69 % (13932)Time elapsed: 0.014 s 1.90/0.69 % (13932)Peak memory usage: 28 MB 1.90/0.69 % (13932)Instructions burned: 14 (million) 1.90/0.69 % (13934)Refutation not found, incomplete strategy% (13934)------------------------------ 1.90/0.69 % (13934)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.90/0.69 % (13934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.90/0.69 % (13934)Termination reason: Refutation not found, incomplete strategy 1.90/0.69 1.90/0.69 % (13934)Time elapsed: 0.011 s 1.90/0.69 % (13934)Peak memory usage: 28 MB 1.90/0.69 % (13934)Instructions burned: 10 (million) 1.90/0.70 % (13934)------------------------------ 1.90/0.70 % (13934)------------------------------ 1.90/0.71 % (13789)Running in auto input_syntax mode. Trying TPTP 1.90/0.71 % (13941)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=2296916708:i=10:rtra=on_1197 on theBenchmark for (1197ds/10Mi) 1.90/0.71 % (13789)Running in auto input_syntax mode. Trying TPTP 1.90/0.71 % (13944)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=3490412371:i=71:rtra=on:gtg=exists_top_1197 on theBenchmark for (1197ds/71Mi) 2.31/0.71 % (13941)Instruction limit reached! 2.31/0.71 % (13941)------------------------------ 2.31/0.71 % (13941)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.31/0.71 % (13941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.31/0.71 % (13941)Termination reason: Instruction limit 2.31/0.71 % (13941)Termination phase: Saturation 2.31/0.71 2.31/0.71 % (13941)Time elapsed: 0.004 s 2.31/0.71 % (13941)Peak memory usage: 7 MB 2.31/0.71 % (13941)Instructions burned: 13 (million) 2.31/0.72 % (13789)Running in auto input_syntax mode. Trying TPTP 2.31/0.72 % (13946)lrs+1010_1_to=lpo:prlc=on:sil=128000:prc=on:drc=off:si=on:sp=const_max:thsqr=8,1:tha=some:nwc=5:random_seed=2721683379:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_1196 on theBenchmark for (1196ds/75Mi) 2.31/0.72 % (13789)Running in auto input_syntax mode. Trying TPTP 2.31/0.72 % (13948)dis+1011_2:1_to=kbo:sil=128000:tgt=full:norm_ineq=on:fde=none:si=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=500982767:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_1196 on theBenchmark for (1196ds/294Mi) 2.31/0.74 % (13789)Running in auto input_syntax mode. Trying TPTP 2.31/0.74 % (13956)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:abs=on:tha=off:nwc=3:random_seed=3221577135:i=131:rtra=on_1196 on theBenchmark for (1196ds/131Mi) 2.31/0.74 % (13946)Instruction limit reached! 2.31/0.74 % (13946)------------------------------ 2.31/0.74 % (13946)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.31/0.74 % (13946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.31/0.74 % (13946)Termination reason: Instruction limit 2.31/0.74 % (13946)Termination phase: Saturation 2.31/0.74 2.31/0.74 % (13946)Time elapsed: 0.021 s 2.31/0.74 % (13946)Peak memory usage: 8 MB 2.31/0.74 % (13946)Instructions burned: 76 (million) 2.31/0.74 % (13789)Running in auto input_syntax mode. Trying TPTP 2.31/0.74 % (13955)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=400189441:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_1196 on theBenchmark for (1196ds/130Mi) 2.31/0.75 % (13944)First to succeed. 2.31/0.75 % (13944)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13789" 2.31/0.75 % (13789)Running in auto input_syntax mode. Trying TPTP 2.31/0.75 % (13944)Refutation found. Thanks to Tanya! 2.31/0.75 % SZS status Theorem for theBenchmark 2.31/0.75 % SZS output start Proof for theBenchmark 2.31/0.75 tff(func_def_0, type, v0: $int > $int). 2.31/0.75 tff(func_def_1, type, u2: ($int * $int) > $int). 2.31/0.75 tff(func_def_2, type, f2: $int > $int). 2.31/0.75 tff(func_def_3, type, u1: ($int * $int) > $int). 2.31/0.75 tff(func_def_4, type, u0: ($int * $int) > $int). 2.31/0.75 tff(func_def_5, type, v1: $int > $int). 2.31/0.75 tff(func_def_6, type, v2: $int > $int). 2.31/0.75 tff(func_def_7, type, h1: $int > $int). 2.31/0.75 tff(func_def_8, type, h2: $int > $int). 2.31/0.75 tff(func_def_9, type, g1: $int). 2.31/0.75 tff(func_def_10, type, fast: $int > $int). 2.31/0.75 tff(func_def_11, type, g0: $int). 2.31/0.75 tff(func_def_12, type, h0: $int > $int). 2.31/0.75 tff(func_def_13, type, small: $int > $int). 2.31/0.75 tff(func_def_14, type, f0: $int > $int). 2.31/0.75 tff(func_def_15, type, g2: $int). 2.31/0.75 tff(func_def_16, type, f1: $int > $int). 2.31/0.75 tff(func_def_24, type, sK0: $int). 2.31/0.75 tff(func_def_28, type, '$inst2': $int). 2.31/0.75 tff(f272,plain,( 2.31/0.75 $false), 2.31/0.75 inference(avatar_smt_refutation,[],[f74,f79,f84,f90,f97,f200,f241,f242,f271])). 2.31/0.75 tff(f271,plain,( 2.31/0.75 ~spl1_8 | spl1_7), 2.31/0.75 inference(avatar_split_clause,[],[f263,f238,f268])). 2.31/0.75 tff(f268,definition,( 2.31/0.75 spl1_8 <=> $product($product($product($sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0))))),$sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0)))))),$product($sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0))))),$sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0))))))),$product($product($sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0))))),$sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0)))))),$product($sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0))))),$sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0)))))))) = $product($product($product($sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))))),$sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0)))))),$product($sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))))),$sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))))))),$product($product($sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))))),$sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0)))))),$product($sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))))),$sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))))))))), 2.31/0.75 introduced(definition,[new_symbols(naming,[spl1_8])],[avatar_definition])). 2.31/0.75 tff(f238,definition,( 2.31/0.75 spl1_7 <=> u2(3,$sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0)))))) = $product($product($product($sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))))),$sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0)))))),$product($sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))))),$sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))))))),$product($product($sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))))),$sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0)))))),$product($sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))))),$sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))))))))), 2.31/0.75 introduced(definition,[new_symbols(naming,[spl1_7])],[avatar_definition])). 2.31/0.75 tff(f263,plain,( 2.31/0.75 $product($product($product($sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0))))),$sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0)))))),$product($sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0))))),$sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0))))))),$product($product($sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0))))),$sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0)))))),$product($sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0))))),$sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0)))))))) != $product($product($product($sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))))),$sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0)))))),$product($sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))))),$sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))))))),$product($product($sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))))),$sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0)))))),$product($sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))))),$sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0)))))))) | spl1_7), 2.31/0.75 inference(evaluation,[],[f261])). 2.31/0.75 tff(f261,plain,( 2.31/0.75 $product($product($product($sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0))))),$sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0)))))),$product($sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0))))),$sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0))))))),$product($product($sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0))))),$sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0)))))),$product($sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0))))),$sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0)))))))) != $product($product($product($sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))))),$sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0)))))),$product($sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))))),$sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))))))),$product($product($sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))))),$sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0)))))),$product($sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))))),$sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0)))))))) | ~$less(0,3) | ~$less(0,$sum($sum(3,-1),-1)) | ~$less(0,$sum(3,-1)) | $less(0,$sum($sum($sum(3,-1),-1),-1)) | spl1_7), 2.31/0.75 inference(superposition,[],[f240,f174])). 2.31/0.75 tff(f174,plain,( 2.31/0.75 ( ! [X0 : $int,X1 : $int] : (u2(X1,X0) = $product($product($product(X0,X0),$product(X0,X0)),$product($product(X0,X0),$product(X0,X0))) | ~$less(0,$sum($sum(X1,-1),-1)) | ~$less(0,$sum(X1,-1)) | ~$less(0,X1) | $less(0,$sum($sum($sum(X1,-1),-1),-1))) )), 2.31/0.75 inference(superposition,[],[f67,f141])). 2.31/0.75 tff(f141,plain,( 2.31/0.75 ( ! [X0 : $int,X1 : $int] : (u2(X1,X0) = $product($product(X0,X0),$product(X0,X0)) | ~$less(0,X1) | $less(0,$sum($sum(X1,-1),-1)) | ~$less(0,$sum(X1,-1))) )), 2.31/0.75 inference(superposition,[],[f67,f115])). 2.31/0.75 tff(f115,plain,( 2.31/0.75 ( ! [X0 : $int,X1 : $int] : ($product(X0,X0) = u2(X1,X0) | $less(0,$sum(X1,-1)) | ~$less(0,X1)) )), 2.31/0.75 inference(superposition,[],[f67,f51])). 2.31/0.75 tff(f51,plain,( 2.31/0.75 ( ! [X0 : $int,X1 : $int] : (u2(X0,X1) = X1 | $less(0,X0)) )), 2.31/0.75 inference(cnf_transformation,[],[f33])). 2.31/0.75 tff(f33,plain,( 2.31/0.75 ! [X0 : $int,X1 : $int] : (($less(0,X0) | u2(X0,X1) = X1) & (u2(X0,X1) = f2(u2($sum(X0,$uminus(1)),X1)) | ~$less(0,X0)))), 2.31/0.75 inference(rectify,[],[f27])). 2.31/0.75 tff(f27,plain,( 2.31/0.75 ! [X1 : $int,X0 : $int] : (($less(0,X1) | u2(X1,X0) = X0) & (u2(X1,X0) = f2(u2($sum(X1,$uminus(1)),X0)) | ~$less(0,X1)))), 2.31/0.75 inference(ennf_transformation,[],[f24])). 2.31/0.75 tff(f24,plain,( 2.31/0.75 ! [X0 : $int,X1 : $int] : (($less(0,X1) => u2(X1,X0) = f2(u2($sum(X1,$uminus(1)),X0))) & (~$less(0,X1) => u2(X1,X0) = X0))), 2.31/0.75 inference(rectify,[],[f20])). 2.31/0.75 tff(f20,plain,( 2.31/0.75 ! [X1 : $int,X0 : $int] : (($less(0,X0) => u2(X0,X1) = f2(u2($sum(X0,$uminus(1)),X1))) & (~$less(0,X0) => u2(X0,X1) = X1))), 2.31/0.75 inference(theory_normalization,[],[f15])). 2.31/0.75 tff(f15,axiom,( 2.31/0.75 ! [X1 : $int,X0 : $int] : ((~$lesseq(X0,0) => u2(X0,X1) = f2(u2($difference(X0,1),X1))) & ($lesseq(X0,0) => u2(X0,X1) = X1))), 2.31/0.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 2.31/0.75 tff(f67,plain,( 2.31/0.75 ( ! [X0 : $int,X1 : $int] : (u2(X0,X1) = $product(u2($sum(X0,-1),X1),u2($sum(X0,-1),X1)) | ~$less(0,X0)) )), 2.31/0.75 inference(evaluation,[],[f63])). 2.31/0.75 tff(f63,plain,( 2.31/0.75 ( ! [X0 : $int,X1 : $int] : (~$less(0,X0) | u2(X0,X1) = $product(u2($sum(X0,$uminus(1)),X1),u2($sum(X0,$uminus(1)),X1))) )), 2.31/0.75 inference(definition_unfolding,[],[f50,f43])). 2.31/0.75 tff(f43,plain,( 2.31/0.75 ( ! [X0 : $int] : (f2(X0) = $product(X0,X0)) )), 2.31/0.75 inference(cnf_transformation,[],[f2])). 2.31/0.75 tff(f2,axiom,( 2.31/0.75 ! [X0 : $int] : f2(X0) = $product(X0,X0)), 2.31/0.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 2.31/0.75 tff(f50,plain,( 2.31/0.75 ( ! [X0 : $int,X1 : $int] : (u2(X0,X1) = f2(u2($sum(X0,$uminus(1)),X1)) | ~$less(0,X0)) )), 2.31/0.75 inference(cnf_transformation,[],[f33])). 2.31/0.75 tff(f240,plain,( 2.31/0.75 u2(3,$sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0)))))) != $product($product($product($sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))))),$sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0)))))),$product($sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))))),$sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))))))),$product($product($sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))))),$sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0)))))),$product($sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))))),$sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0)))))))) | spl1_7), 2.31/0.75 inference(avatar_component_clause,[],[f238])). 2.31/0.75 tff(f242,plain,( 2.31/0.75 ~spl1_7 | spl1_5), 2.31/0.75 inference(avatar_split_clause,[],[f236,f94,f238])). 2.31/0.75 tff(f94,definition,( 2.31/0.75 spl1_5 <=> u0(3,u1(2,$sum(sK0,sK0))) = u2(3,$sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0))))))), 2.31/0.75 introduced(definition,[new_symbols(naming,[spl1_5])],[avatar_definition])). 2.31/0.75 tff(f236,plain,( 2.31/0.75 u2(3,$sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0)))))) != $product($product($product($sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))))),$sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0)))))),$product($sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))))),$sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))))))),$product($product($sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))))),$sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0)))))),$product($sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))))),$sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0)))))))) | spl1_5), 2.31/0.75 inference(forward_demodulation,[],[f230,f182])). 2.31/0.75 tff(f182,plain,( 2.31/0.75 ( ! [X0 : $int] : (u1(2,X0) = $sum(1,$sum($sum(1,$sum(X0,X0)),$sum(1,$sum(X0,X0))))) )), 2.31/0.75 inference(interpreted_simplification,[],[f181])). 2.31/0.75 tff(f181,plain,( 2.31/0.75 ( ! [X0 : $int] : (u1(2,X0) = $sum(1,$sum($sum(1,$sum(X0,X0)),$sum(1,$sum(X0,X0)))) | $less(0,$sum($sum(2,-1),-1)) | ~$less(0,2) | ~$less(0,$sum(2,-1))) )), 2.31/0.75 inference(instantiation,[],[f149])). 2.31/0.75 tff(f149,plain,( 2.31/0.75 ( ! [X0 : $int,X1 : $int] : ($sum(1,$sum($sum(1,$sum(X0,X0)),$sum(1,$sum(X0,X0)))) = u1(X1,X0) | $less(0,$sum($sum(X1,-1),-1)) | ~$less(0,X1) | ~$less(0,$sum(X1,-1))) )), 2.31/0.75 inference(superposition,[],[f65,f122])). 2.31/0.75 tff(f122,plain,( 2.31/0.75 ( ! [X0 : $int,X1 : $int] : ($sum(1,$sum(X0,X0)) = u1(X1,X0) | ~$less(0,X1) | $less(0,$sum(X1,-1))) )), 2.31/0.75 inference(superposition,[],[f65,f53])). 2.31/0.75 tff(f53,plain,( 2.31/0.75 ( ! [X0 : $int,X1 : $int] : (u1(X0,X1) = X1 | $less(0,X0)) )), 2.31/0.75 inference(cnf_transformation,[],[f29])). 2.31/0.75 tff(f29,plain,( 2.31/0.75 ! [X0 : $int,X1 : $int] : ((~$less(0,X0) | u1(X0,X1) = f1(u1($sum(X0,$uminus(1)),X1))) & (u1(X0,X1) = X1 | $less(0,X0)))), 2.31/0.75 inference(ennf_transformation,[],[f23])). 2.31/0.75 tff(f23,plain,( 2.31/0.75 ! [X0 : $int,X1 : $int] : (($less(0,X0) => u1(X0,X1) = f1(u1($sum(X0,$uminus(1)),X1))) & (~$less(0,X0) => u1(X0,X1) = X1))), 2.31/0.75 inference(theory_normalization,[],[f1])). 2.31/0.75 tff(f1,axiom,( 2.31/0.75 ! [X0 : $int,X1 : $int] : ((~$lesseq(X0,0) => u1(X0,X1) = f1(u1($difference(X0,1),X1))) & ($lesseq(X0,0) => u1(X0,X1) = X1))), 2.31/0.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 2.31/0.75 tff(f65,plain,( 2.31/0.75 ( ! [X0 : $int,X1 : $int] : (u1(X0,X1) = $sum(1,$sum(u1($sum(X0,-1),X1),u1($sum(X0,-1),X1))) | ~$less(0,X0)) )), 2.31/0.75 inference(evaluation,[],[f64])). 2.31/0.75 tff(f64,plain,( 2.31/0.75 ( ! [X0 : $int,X1 : $int] : (~$less(0,X0) | u1(X0,X1) = $sum(1,$sum(u1($sum(X0,$uminus(1)),X1),u1($sum(X0,$uminus(1)),X1)))) )), 2.31/0.75 inference(definition_unfolding,[],[f54,f45])). 2.31/0.75 tff(f45,plain,( 2.31/0.75 ( ! [X0 : $int] : (f1(X0) = $sum(1,$sum(X0,X0))) )), 2.31/0.75 inference(cnf_transformation,[],[f16])). 2.31/0.75 tff(f16,axiom,( 2.31/0.75 ! [X0 : $int] : f1(X0) = $sum(1,$sum(X0,X0))), 2.31/0.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 2.31/0.75 tff(f54,plain,( 2.31/0.75 ( ! [X0 : $int,X1 : $int] : (~$less(0,X0) | u1(X0,X1) = f1(u1($sum(X0,$uminus(1)),X1))) )), 2.31/0.75 inference(cnf_transformation,[],[f29])). 2.31/0.75 tff(f230,plain,( 2.31/0.75 $product($product($product(u1(2,$sum(sK0,sK0)),u1(2,$sum(sK0,sK0))),$product(u1(2,$sum(sK0,sK0)),u1(2,$sum(sK0,sK0)))),$product($product(u1(2,$sum(sK0,sK0)),u1(2,$sum(sK0,sK0))),$product(u1(2,$sum(sK0,sK0)),u1(2,$sum(sK0,sK0))))) != u2(3,$sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0)))))) | spl1_5), 2.31/0.75 inference(evaluation,[],[f228])). 2.31/0.75 tff(f228,plain,( 2.31/0.75 ~$less(0,$sum(3,-1)) | ~$less(0,$sum($sum(3,-1),-1)) | ~$less(0,3) | $product($product($product(u1(2,$sum(sK0,sK0)),u1(2,$sum(sK0,sK0))),$product(u1(2,$sum(sK0,sK0)),u1(2,$sum(sK0,sK0)))),$product($product(u1(2,$sum(sK0,sK0)),u1(2,$sum(sK0,sK0))),$product(u1(2,$sum(sK0,sK0)),u1(2,$sum(sK0,sK0))))) != u2(3,$sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0)))))) | $less(0,$sum($sum($sum(3,-1),-1),-1)) | spl1_5), 2.31/0.75 inference(superposition,[],[f96,f160])). 2.31/0.75 tff(f160,plain,( 2.31/0.75 ( ! [X0 : $int,X1 : $int] : ($product($product($product(X0,X0),$product(X0,X0)),$product($product(X0,X0),$product(X0,X0))) = u0(X1,X0) | ~$less(0,$sum($sum(X1,-1),-1)) | $less(0,$sum($sum($sum(X1,-1),-1),-1)) | ~$less(0,X1) | ~$less(0,$sum(X1,-1))) )), 2.31/0.75 inference(superposition,[],[f66,f133])). 2.31/0.75 tff(f133,plain,( 2.31/0.75 ( ! [X0 : $int,X1 : $int] : ($product($product(X0,X0),$product(X0,X0)) = u0(X1,X0) | ~$less(0,$sum(X1,-1)) | $less(0,$sum($sum(X1,-1),-1)) | ~$less(0,X1)) )), 2.31/0.75 inference(superposition,[],[f66,f108])). 2.31/0.75 tff(f108,plain,( 2.31/0.75 ( ! [X0 : $int,X1 : $int] : ($product(X0,X0) = u0(X1,X0) | $less(0,$sum(X1,-1)) | ~$less(0,X1)) )), 2.31/0.75 inference(superposition,[],[f66,f37])). 2.31/0.75 tff(f37,plain,( 2.31/0.75 ( ! [X0 : $int,X1 : $int] : (u0(X0,X1) = X1 | $less(0,X0)) )), 2.31/0.75 inference(cnf_transformation,[],[f30])). 2.31/0.75 tff(f30,plain,( 2.31/0.75 ! [X0 : $int,X1 : $int] : ((~$less(0,X0) | u0(X0,X1) = f0(u0($sum(X0,$uminus(1)),X1))) & (u0(X0,X1) = X1 | $less(0,X0)))), 2.31/0.75 inference(rectify,[],[f28])). 2.31/0.75 tff(f28,plain,( 2.31/0.75 ! [X1 : $int,X0 : $int] : ((~$less(0,X1) | u0(X1,X0) = f0(u0($sum(X1,$uminus(1)),X0))) & (u0(X1,X0) = X0 | $less(0,X1)))), 2.31/0.75 inference(ennf_transformation,[],[f26])). 2.31/0.75 tff(f26,plain,( 2.31/0.75 ! [X0 : $int,X1 : $int] : ((~$less(0,X1) => u0(X1,X0) = X0) & ($less(0,X1) => u0(X1,X0) = f0(u0($sum(X1,$uminus(1)),X0))))), 2.31/0.75 inference(rectify,[],[f22])). 2.31/0.75 tff(f22,plain,( 2.31/0.75 ! [X1 : $int,X0 : $int] : (($less(0,X0) => u0(X0,X1) = f0(u0($sum(X0,$uminus(1)),X1))) & (~$less(0,X0) => u0(X0,X1) = X1))), 2.31/0.75 inference(theory_normalization,[],[f8])). 2.31/0.75 tff(f8,axiom,( 2.31/0.75 ! [X1 : $int,X0 : $int] : ((~$lesseq(X0,0) => u0(X0,X1) = f0(u0($difference(X0,1),X1))) & ($lesseq(X0,0) => u0(X0,X1) = X1))), 2.31/0.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 2.31/0.75 tff(f66,plain,( 2.31/0.75 ( ! [X0 : $int,X1 : $int] : (u0(X0,X1) = $product(u0($sum(X0,-1),X1),u0($sum(X0,-1),X1)) | ~$less(0,X0)) )), 2.31/0.75 inference(evaluation,[],[f60])). 2.31/0.75 tff(f60,plain,( 2.31/0.75 ( ! [X0 : $int,X1 : $int] : (u0(X0,X1) = $product(u0($sum(X0,$uminus(1)),X1),u0($sum(X0,$uminus(1)),X1)) | ~$less(0,X0)) )), 2.31/0.75 inference(definition_unfolding,[],[f38,f48])). 2.31/0.75 tff(f48,plain,( 2.31/0.75 ( ! [X0 : $int] : ($product(X0,X0) = f0(X0)) )), 2.31/0.75 inference(cnf_transformation,[],[f13])). 2.31/0.75 tff(f13,axiom,( 2.31/0.75 ! [X0 : $int] : $product(X0,X0) = f0(X0)), 2.31/0.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 2.31/0.75 tff(f38,plain,( 2.31/0.75 ( ! [X0 : $int,X1 : $int] : (~$less(0,X0) | u0(X0,X1) = f0(u0($sum(X0,$uminus(1)),X1))) )), 2.31/0.75 inference(cnf_transformation,[],[f30])). 2.31/0.75 tff(f96,plain,( 2.31/0.75 u0(3,u1(2,$sum(sK0,sK0))) != u2(3,$sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0)))))) | spl1_5), 2.31/0.75 inference(avatar_component_clause,[],[f94])). 2.31/0.75 tff(f241,plain,( 2.31/0.75 ~spl1_7 | spl1_6), 2.31/0.75 inference(avatar_split_clause,[],[f234,f197,f238])). 2.31/0.75 tff(f197,definition,( 2.31/0.75 spl1_6 <=> u0(3,$sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0)))))) = u2(3,$sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0))))))), 2.31/0.75 introduced(definition,[new_symbols(naming,[spl1_6])],[avatar_definition])). 2.31/0.75 tff(f234,plain,( 2.31/0.75 u2(3,$sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0)))))) != $product($product($product($sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))))),$sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0)))))),$product($sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))))),$sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))))))),$product($product($sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))))),$sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0)))))),$product($sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))))),$sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0)))))))) | spl1_6), 2.31/0.75 inference(evaluation,[],[f229])). 2.31/0.75 tff(f229,plain,( 2.31/0.75 $less(0,$sum($sum($sum(3,-1),-1),-1)) | ~$less(0,3) | u2(3,$sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0)))))) != $product($product($product($sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))))),$sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0)))))),$product($sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))))),$sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))))))),$product($product($sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))))),$sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0)))))),$product($sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))))),$sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0)))))))) | ~$less(0,$sum(3,-1)) | ~$less(0,$sum($sum(3,-1),-1)) | spl1_6), 2.31/0.75 inference(superposition,[],[f199,f160])). 2.31/0.75 tff(f199,plain,( 2.31/0.75 u0(3,$sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0)))))) != u2(3,$sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0)))))) | spl1_6), 2.31/0.75 inference(avatar_component_clause,[],[f197])). 2.31/0.75 tff(f200,plain,( 2.31/0.75 ~spl1_6 | spl1_5), 2.31/0.75 inference(avatar_split_clause,[],[f194,f94,f197])). 2.31/0.75 tff(f194,plain,( 2.31/0.75 u0(3,$sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0)))))) != u2(3,$sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0)))))) | spl1_5), 2.31/0.75 inference(evaluation,[],[f191])). 2.31/0.75 tff(f191,plain,( 2.31/0.75 ~$less(0,2) | u0(3,$sum(1,$sum($sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0))),$sum(1,$sum($sum(sK0,sK0),$sum(sK0,sK0)))))) != u2(3,$sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0)))))) | ~$less(0,$sum(2,-1)) | $less(0,$sum($sum(2,-1),-1)) | spl1_5), 2.31/0.75 inference(superposition,[],[f96,f149])). 2.31/0.75 tff(f97,plain,( 2.31/0.75 ~spl1_5 | ~spl1_1 | ~spl1_2 | spl1_4), 2.31/0.75 inference(avatar_split_clause,[],[f92,f87,f76,f71,f94])). 2.31/0.75 tff(f71,definition,( 2.31/0.75 spl1_1 <=> g0 = 3), 2.31/0.75 introduced(definition,[new_symbols(naming,[spl1_1])],[avatar_definition])). 2.31/0.75 tff(f76,definition,( 2.31/0.75 spl1_2 <=> g2 = 3), 2.31/0.75 introduced(definition,[new_symbols(naming,[spl1_2])],[avatar_definition])). 2.31/0.75 tff(f87,definition,( 2.31/0.75 spl1_4 <=> u2(g2,$sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0)))))) = u0(g0,u1(2,$sum(sK0,sK0)))), 2.31/0.75 introduced(definition,[new_symbols(naming,[spl1_4])],[avatar_definition])). 2.31/0.75 tff(f92,plain,( 2.31/0.75 u0(3,u1(2,$sum(sK0,sK0))) != u2(3,$sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0)))))) | (~spl1_1 | ~spl1_2 | spl1_4)), 2.31/0.75 inference(forward_demodulation,[],[f91,f78])). 2.31/0.75 tff(f78,plain,( 2.31/0.75 g2 = 3 | ~spl1_2), 2.31/0.75 inference(avatar_component_clause,[],[f76])). 2.31/0.75 tff(f91,plain,( 2.31/0.75 u0(3,u1(2,$sum(sK0,sK0))) != u2(g2,$sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0)))))) | (~spl1_1 | spl1_4)), 2.31/0.75 inference(forward_demodulation,[],[f89,f73])). 2.31/0.75 tff(f73,plain,( 2.31/0.75 g0 = 3 | ~spl1_1), 2.31/0.75 inference(avatar_component_clause,[],[f71])). 2.31/0.75 tff(f89,plain,( 2.31/0.75 u2(g2,$sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0)))))) != u0(g0,u1(2,$sum(sK0,sK0))) | spl1_4), 2.31/0.75 inference(avatar_component_clause,[],[f87])). 2.31/0.75 tff(f90,plain,( 2.31/0.75 ~spl1_4), 2.31/0.75 inference(avatar_split_clause,[],[f85,f87])). 2.31/0.75 tff(f85,plain,( 2.31/0.75 u2(g2,$sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0)))))) != u0(g0,u1(2,$sum(sK0,sK0)))), 2.31/0.75 inference(forward_demodulation,[],[f61,f62])). 2.31/0.75 tff(f62,plain,( 2.31/0.75 ( ! [X0 : $int] : (small(X0) = u0(g0,u1(2,$sum(X0,X0)))) )), 2.31/0.75 inference(definition_unfolding,[],[f44,f40,f59])). 2.31/0.75 tff(f59,plain,( 2.31/0.75 ( ! [X0 : $int] : (h0(X0) = u1(2,$sum(X0,X0))) )), 2.31/0.75 inference(definition_unfolding,[],[f39,f56])). 2.31/0.75 tff(f56,plain,( 2.31/0.75 ( ! [X0 : $int] : (v1(X0) = u1(2,$sum(X0,X0))) )), 2.31/0.75 inference(definition_unfolding,[],[f34,f49,f52])). 2.31/0.75 tff(f52,plain,( 2.31/0.75 ( ! [X0 : $int] : (h1(X0) = $sum(X0,X0)) )), 2.31/0.75 inference(cnf_transformation,[],[f19])). 2.31/0.75 tff(f19,axiom,( 2.31/0.75 ! [X0 : $int] : h1(X0) = $sum(X0,X0)), 2.31/0.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 2.31/0.75 tff(f49,plain,( 2.31/0.75 g1 = 2), 2.31/0.75 inference(cnf_transformation,[],[f3])). 2.31/0.75 tff(f3,axiom,( 2.31/0.75 g1 = 2), 2.31/0.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 2.31/0.75 tff(f34,plain,( 2.31/0.75 ( ! [X0 : $int] : (v1(X0) = u1(g1,h1(X0))) )), 2.31/0.75 inference(cnf_transformation,[],[f7])). 2.31/0.75 tff(f7,axiom,( 2.31/0.75 ! [X0 : $int] : v1(X0) = u1(g1,h1(X0))), 2.31/0.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 2.31/0.75 tff(f39,plain,( 2.31/0.75 ( ! [X0 : $int] : (h0(X0) = v1(X0)) )), 2.31/0.75 inference(cnf_transformation,[],[f17])). 2.31/0.75 tff(f17,axiom,( 2.31/0.75 ! [X0 : $int] : h0(X0) = v1(X0)), 2.31/0.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 2.31/0.75 tff(f40,plain,( 2.31/0.75 ( ! [X0 : $int] : (v0(X0) = small(X0)) )), 2.31/0.75 inference(cnf_transformation,[],[f18])). 2.31/0.75 tff(f18,axiom,( 2.31/0.75 ! [X0 : $int] : v0(X0) = small(X0)), 2.31/0.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 2.31/0.75 tff(f44,plain,( 2.31/0.75 ( ! [X0 : $int] : (v0(X0) = u0(g0,h0(X0))) )), 2.31/0.75 inference(cnf_transformation,[],[f5])). 2.31/0.75 tff(f5,axiom,( 2.31/0.75 ! [X0 : $int] : v0(X0) = u0(g0,h0(X0))), 2.31/0.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 2.31/0.75 tff(f61,plain,( 2.31/0.75 u2(g2,$sum(1,$sum(2,$product(2,$product(2,$sum(sK0,sK0)))))) != small(sK0)), 2.31/0.75 inference(definition_unfolding,[],[f42,f58])). 2.31/0.75 tff(f58,plain,( 2.31/0.75 ( ! [X0 : $int] : (fast(X0) = u2(g2,$sum(1,$sum(2,$product(2,$product(2,$sum(X0,X0))))))) )), 2.31/0.75 inference(definition_unfolding,[],[f46,f57])). 2.31/0.75 tff(f57,plain,( 2.31/0.75 ( ! [X0 : $int] : (v2(X0) = u2(g2,$sum(1,$sum(2,$product(2,$product(2,$sum(X0,X0))))))) )), 2.31/0.75 inference(definition_unfolding,[],[f55,f35])). 2.31/0.75 tff(f35,plain,( 2.31/0.75 ( ! [X0 : $int] : (h2(X0) = $sum(1,$sum(2,$product(2,$product(2,$sum(X0,X0)))))) )), 2.31/0.75 inference(cnf_transformation,[],[f10])). 2.31/0.75 tff(f10,axiom,( 2.31/0.75 ! [X0 : $int] : h2(X0) = $sum(1,$sum(2,$product(2,$product(2,$sum(X0,X0)))))), 2.31/0.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 2.31/0.75 tff(f55,plain,( 2.31/0.75 ( ! [X0 : $int] : (v2(X0) = u2(g2,h2(X0))) )), 2.31/0.75 inference(cnf_transformation,[],[f6])). 2.31/0.75 tff(f6,axiom,( 2.31/0.75 ! [X0 : $int] : v2(X0) = u2(g2,h2(X0))), 2.31/0.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 2.31/0.75 tff(f46,plain,( 2.31/0.75 ( ! [X0 : $int] : (fast(X0) = v2(X0)) )), 2.31/0.75 inference(cnf_transformation,[],[f4])). 2.31/0.75 tff(f4,axiom,( 2.31/0.75 ! [X0 : $int] : fast(X0) = v2(X0)), 2.31/0.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 2.31/0.75 tff(f42,plain,( 2.31/0.75 small(sK0) != fast(sK0)), 2.31/0.75 inference(cnf_transformation,[],[f32])). 2.31/0.75 tff(f32,plain,( 2.31/0.75 small(sK0) != fast(sK0) & ~$less(sK0,0)), 2.31/0.75 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f25,f31])). 2.31/0.75 tff(f31,plain,( 2.31/0.75 ? [X0 : $int] : (fast(X0) != small(X0) & ~$less(X0,0)) => (small(sK0) != fast(sK0) & ~$less(sK0,0))), 2.31/0.75 introduced(definition,[],[choice_axiom])). 2.31/0.75 tff(f25,plain,( 2.31/0.75 ? [X0 : $int] : (fast(X0) != small(X0) & ~$less(X0,0))), 2.31/0.75 inference(rectify,[],[f21])). 2.31/0.75 tff(f21,plain,( 2.31/0.75 ? [X2 : $int] : (~$less(X2,0) & small(X2) != fast(X2))), 2.31/0.75 inference(theory_normalization,[],[f12])). 2.31/0.75 tff(f12,negated_conjecture,( 2.31/0.75 ~~? [X2 : $int] : ($greatereq(X2,0) & small(X2) != fast(X2))), 2.31/0.75 inference(negated_conjecture,[status(cth)],[f11])). 2.31/0.75 tff(f11,conjecture,( 2.31/0.75 ~? [X2 : $int] : ($greatereq(X2,0) & small(X2) != fast(X2))), 2.31/0.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 2.31/0.75 tff(f84,plain,( 2.31/0.75 ~spl1_3), 2.31/0.75 inference(avatar_split_clause,[],[f41,f81])). 2.31/0.75 tff(f81,definition,( 2.31/0.75 spl1_3 <=> $less(sK0,0)), 2.31/0.75 introduced(definition,[new_symbols(naming,[spl1_3])],[avatar_definition])). 2.31/0.75 tff(f41,plain,( 2.31/0.75 ~$less(sK0,0)), 2.31/0.75 inference(cnf_transformation,[],[f32])). 2.31/0.75 tff(f79,plain,( 2.31/0.75 spl1_2), 2.31/0.75 inference(avatar_split_clause,[],[f69,f76])). 2.31/0.75 tff(f69,plain,( 2.31/0.75 g2 = 3), 2.31/0.75 inference(evaluation,[],[f36])). 2.31/0.75 tff(f36,plain,( 2.31/0.75 g2 = $sum(1,2)), 2.31/0.75 inference(cnf_transformation,[],[f9])). 2.31/0.75 tff(f9,axiom,( 2.31/0.75 g2 = $sum(1,2)), 2.31/0.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 2.31/0.75 tff(f74,plain,( 2.31/0.75 spl1_1), 2.31/0.75 inference(avatar_split_clause,[],[f68,f71])). 2.31/0.75 tff(f68,plain,( 2.31/0.75 g0 = 3), 2.31/0.75 inference(evaluation,[],[f47])). 2.31/0.75 tff(f47,plain,( 2.31/0.75 g0 = $sum(1,2)), 2.31/0.75 inference(cnf_transformation,[],[f14])). 2.31/0.75 tff(f14,axiom,( 2.31/0.75 g0 = $sum(1,2)), 2.31/0.75 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 2.31/0.75 % SZS output end Proof for theBenchmark 2.31/0.75 % (13944)------------------------------ 2.31/0.75 % (13944)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.31/0.75 % (13944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.31/0.75 % (13944)Termination reason: Refutation 2.31/0.75 2.31/0.75 % (13944)Time elapsed: 0.043 s 2.31/0.75 % (13944)Peak memory usage: 47 MB 2.31/0.75 % (13944)Instructions burned: 79 (million) 2.31/0.75 % (13944)------------------------------ 2.31/0.75 % (13944)------------------------------ 2.31/0.75 % (13789)Success in time 0.385 s 2.31/0.76 EOF