0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : run_vampire %s %d THM 0.12/0.33 % Computer : n011.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Wed Jul 30 05:49:19 EDT 2025 0.12/0.34 % CPUTime : 0.12/0.36 This is a TFF_ problem 0.12/0.36 Running first-order theorem proving 0.12/0.36 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 120 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.22/0.42 % (4781)Running in auto input_syntax mode. Trying TPTP 0.22/0.42 % (4789)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/32Mi) 0.22/0.42 % (4781)Running in auto input_syntax mode. Trying TPTP 0.22/0.42 % (4786)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/2Mi) 0.22/0.42 % (4781)Running in auto input_syntax mode. Trying TPTP 0.22/0.42 % (4788)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/15Mi) 0.22/0.42 % (4781)Running in auto input_syntax mode. Trying TPTP 0.22/0.42 % (4783)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/59848Mi) 0.22/0.42 % (4781)Running in auto input_syntax mode. Trying TPTP 0.22/0.42 % (4784)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/34Mi) 0.22/0.42 % (4781)Running in auto input_syntax mode. Trying TPTP 0.22/0.42 % (4787)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/37Mi) 0.22/0.43 % (4786)Instruction limit reached! 0.22/0.43 % (4786)------------------------------ 0.22/0.43 % (4786)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.43 % (4786)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.43 % (4786)Termination reason: Time limit 0.22/0.43 % (4786)Termination phase: Saturation 0.22/0.43 0.22/0.43 % (4786)Memory used [KB]: 868 0.22/0.43 % (4786)Time elapsed: 0.004 s 0.22/0.43 % (4786)Instructions burned: 2 (million) 0.22/0.43 % (4781)Running in auto input_syntax mode. Trying TPTP 0.22/0.43 % (4785)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/8Mi) 0.22/0.43 % (4789)Refutation not found, incomplete strategy% (4789)------------------------------ 0.22/0.43 % (4789)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.43 % (4784)Refutation not found, incomplete strategy% (4784)------------------------------ 0.22/0.43 % (4784)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.43 % (4789)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.43 % (4784)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.43 % (4789)Termination reason: Refutation not found, incomplete strategy 0.22/0.43 % (4784)Termination reason: Refutation not found, incomplete strategy 0.22/0.43 0.22/0.43 0.22/0.43 % (4789)Memory used [KB]: 758 0.22/0.43 % (4784)Memory used [KB]: 750 0.22/0.43 % (4789)Time elapsed: 0.005 s 0.22/0.43 % (4784)Time elapsed: 0.005 s 0.22/0.43 % (4789)Instructions burned: 3 (million) 0.22/0.43 % (4784)Instructions burned: 3 (million) 0.22/0.43 % (4789)------------------------------ 0.22/0.43 % (4789)------------------------------ 0.22/0.43 % (4784)------------------------------ 0.22/0.43 % (4784)------------------------------ 0.22/0.43 % (4785)Instruction limit reached! 0.22/0.43 % (4785)------------------------------ 0.22/0.43 % (4785)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.43 % (4785)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.43 % (4785)Termination reason: Time limit 0.22/0.43 % (4785)Termination phase: Saturation 0.22/0.43 0.22/0.43 % (4785)Memory used [KB]: 868 0.22/0.43 % (4785)Time elapsed: 0.008 s 0.22/0.43 % (4785)Instructions burned: 8 (million) 0.22/0.43 % (4788)Instruction limit reached! 0.22/0.43 % (4788)------------------------------ 0.22/0.43 % (4788)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.43 % (4788)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.43 % (4788)Termination reason: Time limit 0.22/0.43 % (4788)Termination phase: Saturation 0.22/0.43 0.22/0.43 % (4788)Memory used [KB]: 901 0.22/0.43 % (4788)Time elapsed: 0.013 s 0.22/0.43 % (4788)Instructions burned: 15 (million) 0.22/0.45 % (4787)Instruction limit reached! 0.22/0.45 % (4787)------------------------------ 0.22/0.45 % (4787)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.45 % (4787)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.45 % (4787)Termination reason: Time limit 0.22/0.45 % (4787)Termination phase: Saturation 0.22/0.45 0.22/0.45 % (4787)Memory used [KB]: 1170 0.22/0.45 % (4787)Time elapsed: 0.027 s 0.22/0.45 % (4787)Instructions burned: 37 (million) 0.22/0.48 % (4781)Running in auto input_syntax mode. Trying TPTP 0.22/0.48 % (4803)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/4Mi) 0.22/0.48 % (4803)Refutation not found, incomplete strategy% (4803)------------------------------ 0.22/0.48 % (4803)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.48 % (4803)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.48 % (4803)Termination reason: Refutation not found, incomplete strategy 0.22/0.48 0.22/0.48 % (4803)Memory used [KB]: 751 0.22/0.48 % (4803)Time elapsed: 0.003 s 0.22/0.48 % (4803)Instructions burned: 3 (million) 0.22/0.48 % (4803)------------------------------ 0.22/0.48 % (4803)------------------------------ 0.22/0.49 % (4781)Running in auto input_syntax mode. Trying TPTP 0.22/0.49 % (4799)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/36Mi) 0.22/0.49 % (4781)Running in auto input_syntax mode. Trying TPTP 0.22/0.49 % (4800)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/26Mi) 0.22/0.49 % (4799)Refutation not found, incomplete strategy% (4799)------------------------------ 0.22/0.49 % (4799)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.49 % (4799)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.49 % (4799)Termination reason: Refutation not found, incomplete strategy 0.22/0.49 0.22/0.49 % (4799)Memory used [KB]: 750 0.22/0.49 % (4799)Time elapsed: 0.003 s 0.22/0.49 % (4799)Instructions burned: 2 (million) 0.22/0.49 % (4799)------------------------------ 0.22/0.49 % (4799)------------------------------ 0.22/0.49 % (4781)Running in auto input_syntax mode. Trying TPTP 0.22/0.49 % (4801)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/2Mi) 0.22/0.49 % (4801)Instruction limit reached! 0.22/0.49 % (4801)------------------------------ 0.22/0.49 % (4801)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.49 % (4801)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.49 % (4801)Termination reason: Time limit 0.22/0.49 % (4801)Termination phase: Saturation 0.22/0.49 0.22/0.49 % (4801)Memory used [KB]: 770 0.22/0.49 % (4801)Time elapsed: 0.004 s 0.22/0.49 % (4801)Instructions burned: 2 (million) 0.22/0.49 % (4781)Running in auto input_syntax mode. Trying TPTP 0.22/0.49 % (4802)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/35Mi) 0.22/0.50 % (4800)Instruction limit reached! 0.22/0.50 % (4800)------------------------------ 0.22/0.50 % (4800)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.50 % (4800)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.50 % (4800)Termination reason: Time limit 0.22/0.50 % (4800)Termination phase: Saturation 0.22/0.50 0.22/0.50 % (4800)Memory used [KB]: 941 0.22/0.50 % (4800)Time elapsed: 0.013 s 0.22/0.50 % (4800)Instructions burned: 28 (million) 0.22/0.50 % (4783)First to succeed. 0.22/0.50 % (4781)Running in auto input_syntax mode. Trying TPTP 0.22/0.50 % (4804)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/2Mi) 0.22/0.50 % (4783)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4781" 0.22/0.50 % (4804)Instruction limit reached! 0.22/0.50 % (4804)------------------------------ 0.22/0.50 % (4804)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.50 % (4804)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.50 % (4804)Termination reason: Time limit 0.22/0.50 % (4804)Termination phase: Saturation 0.22/0.50 0.22/0.50 % (4804)Memory used [KB]: 753 0.22/0.50 % (4804)Time elapsed: 0.002 s 0.22/0.50 % (4804)Instructions burned: 2 (million) 0.22/0.50 % (4802)Instruction limit reached! 0.22/0.50 % (4802)------------------------------ 0.22/0.50 % (4802)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.50 % (4802)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.50 % (4802)Termination reason: Time limit 0.22/0.50 % (4802)Termination phase: Saturation 0.22/0.50 0.22/0.50 % (4802)Memory used [KB]: 821 0.22/0.50 % (4802)Time elapsed: 0.013 s 0.22/0.50 % (4802)Instructions burned: 35 (million) 0.22/0.50 % (4781)Running in auto input_syntax mode. Trying TPTP 0.22/0.50 % (4783)Refutation found. Thanks to Tanya! 0.22/0.50 % SZS status Theorem for theBenchmark 0.22/0.50 % SZS output start Proof for theBenchmark 0.22/0.50 tff(func_def_5, type, sK0: $real). 0.22/0.50 tff(func_def_6, type, sF1: $real). 0.22/0.50 tff(func_def_7, type, sF2: $real). 0.22/0.50 tff(f169,plain,( 0.22/0.50 $false), 0.22/0.50 inference(avatar_smt_refutation,[],[f24,f28,f32,f37,f42,f49,f72,f133,f148,f152,f158,f162,f168])). 0.22/0.50 tff(f168,plain,( 0.22/0.50 spl3_10 | ~spl3_12 | ~spl3_13), 0.22/0.50 inference(avatar_contradiction_clause,[],[f167])). 0.22/0.50 tff(f167,plain,( 0.22/0.50 $false | (spl3_10 | ~spl3_12 | ~spl3_13)), 0.22/0.50 inference(subsumption_resolution,[],[f166,f147])). 0.22/0.50 tff(f147,plain,( 0.22/0.50 sK0 != sF2 | spl3_10), 0.22/0.50 inference(avatar_component_clause,[],[f146])). 0.22/0.50 tff(f146,plain,( 0.22/0.50 spl3_10 <=> sK0 = sF2), 0.22/0.50 introduced(avatar_definition,[new_symbols(naming,[spl3_10])])). 0.22/0.50 tff(f166,plain,( 0.22/0.50 sK0 = sF2 | (~spl3_12 | ~spl3_13)), 0.22/0.50 inference(forward_demodulation,[],[f161,f157])). 0.22/0.50 tff(f157,plain,( 0.22/0.50 sK0 = $ceiling(sK0) | ~spl3_12), 0.22/0.50 inference(avatar_component_clause,[],[f156])). 0.22/0.50 tff(f156,plain,( 0.22/0.50 spl3_12 <=> sK0 = $ceiling(sK0)), 0.22/0.50 introduced(avatar_definition,[new_symbols(naming,[spl3_12])])). 0.22/0.50 tff(f161,plain,( 0.22/0.50 $ceiling(sK0) = sF2 | ~spl3_13), 0.22/0.50 inference(avatar_component_clause,[],[f160])). 0.22/0.50 tff(f160,plain,( 0.22/0.50 spl3_13 <=> $ceiling(sK0) = sF2), 0.22/0.50 introduced(avatar_definition,[new_symbols(naming,[spl3_13])])). 0.22/0.50 tff(f162,plain,( 0.22/0.50 spl3_13 | ~spl3_3 | ~spl3_8), 0.22/0.50 inference(avatar_split_clause,[],[f138,f128,f30,f160])). 0.22/0.50 tff(f30,plain,( 0.22/0.50 spl3_3 <=> $ceiling(sF1) = sF2), 0.22/0.50 introduced(avatar_definition,[new_symbols(naming,[spl3_3])])). 0.22/0.50 tff(f128,plain,( 0.22/0.50 spl3_8 <=> sK0 = sF1), 0.22/0.50 introduced(avatar_definition,[new_symbols(naming,[spl3_8])])). 0.22/0.50 tff(f138,plain,( 0.22/0.50 $ceiling(sK0) = sF2 | (~spl3_3 | ~spl3_8)), 0.22/0.50 inference(backward_demodulation,[],[f31,f129])). 0.22/0.50 tff(f129,plain,( 0.22/0.50 sK0 = sF1 | ~spl3_8), 0.22/0.50 inference(avatar_component_clause,[],[f128])). 0.22/0.50 tff(f31,plain,( 0.22/0.50 $ceiling(sF1) = sF2 | ~spl3_3), 0.22/0.50 inference(avatar_component_clause,[],[f30])). 0.22/0.50 tff(f158,plain,( 0.22/0.50 spl3_12 | ~spl3_2 | ~spl3_8), 0.22/0.50 inference(avatar_split_clause,[],[f137,f128,f26,f156])). 0.22/0.50 tff(f26,plain,( 0.22/0.50 spl3_2 <=> $ceiling(sK0) = sF1), 0.22/0.50 introduced(avatar_definition,[new_symbols(naming,[spl3_2])])). 0.22/0.50 tff(f137,plain,( 0.22/0.50 sK0 = $ceiling(sK0) | (~spl3_2 | ~spl3_8)), 0.22/0.50 inference(backward_demodulation,[],[f27,f129])). 0.22/0.50 tff(f27,plain,( 0.22/0.50 $ceiling(sK0) = sF1 | ~spl3_2), 0.22/0.50 inference(avatar_component_clause,[],[f26])). 0.22/0.50 tff(f152,plain,( 0.22/0.50 ~spl3_11 | spl3_5 | ~spl3_8), 0.22/0.50 inference(avatar_split_clause,[],[f140,f128,f40,f150])). 0.22/0.50 tff(f150,plain,( 0.22/0.50 spl3_11 <=> $less(sF2,sK0)), 0.22/0.50 introduced(avatar_definition,[new_symbols(naming,[spl3_11])])). 0.22/0.50 tff(f40,plain,( 0.22/0.50 spl3_5 <=> $less(sF2,sF1)), 0.22/0.50 introduced(avatar_definition,[new_symbols(naming,[spl3_5])])). 0.22/0.50 tff(f140,plain,( 0.22/0.50 ~$less(sF2,sK0) | (spl3_5 | ~spl3_8)), 0.22/0.50 inference(backward_demodulation,[],[f41,f129])). 0.22/0.50 tff(f41,plain,( 0.22/0.50 ~$less(sF2,sF1) | spl3_5), 0.22/0.50 inference(avatar_component_clause,[],[f40])). 0.22/0.50 tff(f148,plain,( 0.22/0.50 ~spl3_10 | spl3_1 | ~spl3_8), 0.22/0.50 inference(avatar_split_clause,[],[f136,f128,f22,f146])). 0.22/0.50 tff(f22,plain,( 0.22/0.50 spl3_1 <=> sF1 = sF2), 0.22/0.50 introduced(avatar_definition,[new_symbols(naming,[spl3_1])])). 0.22/0.50 tff(f136,plain,( 0.22/0.50 sK0 != sF2 | (spl3_1 | ~spl3_8)), 0.22/0.50 inference(backward_demodulation,[],[f23,f129])). 0.22/0.50 tff(f23,plain,( 0.22/0.50 sF1 != sF2 | spl3_1), 0.22/0.50 inference(avatar_component_clause,[],[f22])). 0.22/0.50 tff(f133,plain,( 0.22/0.50 spl3_8 | spl3_9 | spl3_4 | ~spl3_7), 0.22/0.50 inference(avatar_split_clause,[],[f103,f70,f35,f131,f128])). 0.22/0.50 tff(f131,plain,( 0.22/0.50 spl3_9 <=> $less(sK0,sF2)), 0.22/0.50 introduced(avatar_definition,[new_symbols(naming,[spl3_9])])). 0.22/0.50 tff(f35,plain,( 0.22/0.50 spl3_4 <=> $less(sF1,sK0)), 0.22/0.50 introduced(avatar_definition,[new_symbols(naming,[spl3_4])])). 0.22/0.50 tff(f70,plain,( 0.22/0.50 spl3_7 <=> $less(sF1,sF2)), 0.22/0.50 introduced(avatar_definition,[new_symbols(naming,[spl3_7])])). 0.22/0.50 tff(f103,plain,( 0.22/0.50 $less(sK0,sF2) | sK0 = sF1 | (spl3_4 | ~spl3_7)), 0.22/0.50 inference(resolution,[],[f86,f36])). 0.22/0.50 tff(f36,plain,( 0.22/0.50 ~$less(sF1,sK0) | spl3_4), 0.22/0.50 inference(avatar_component_clause,[],[f35])). 0.22/0.50 tff(f86,plain,( 0.22/0.50 ( ! [X0 : $real] : ($less(sF1,X0) | sF1 = X0 | $less(X0,sF2)) ) | ~spl3_7), 0.22/0.50 inference(resolution,[],[f85,f10])). 0.22/0.50 tff(f10,plain,( 0.22/0.50 ( ! [X0 : $real,X1 : $real] : ($less(X1,X0) | X0 = X1 | $less(X0,X1)) )), 0.22/0.50 introduced(theory_axiom_152,[])). 0.22/0.50 tff(f85,plain,( 0.22/0.50 ( ! [X0 : $real] : (~$less(X0,sF1) | $less(X0,sF2)) ) | ~spl3_7), 0.22/0.50 inference(resolution,[],[f71,f9])). 0.22/0.50 tff(f9,plain,( 0.22/0.50 ( ! [X2 : $real,X0 : $real,X1 : $real] : (~$less(X1,X2) | ~$less(X0,X1) | $less(X0,X2)) )), 0.22/0.50 introduced(theory_axiom_151,[])). 0.22/0.50 tff(f71,plain,( 0.22/0.50 $less(sF1,sF2) | ~spl3_7), 0.22/0.50 inference(avatar_component_clause,[],[f70])). 0.22/0.50 tff(f72,plain,( 0.22/0.50 spl3_7 | spl3_1 | spl3_5), 0.22/0.50 inference(avatar_split_clause,[],[f68,f40,f22,f70])). 0.22/0.50 tff(f68,plain,( 0.22/0.50 $less(sF1,sF2) | (spl3_1 | spl3_5)), 0.22/0.50 inference(subsumption_resolution,[],[f66,f23])). 0.22/0.50 tff(f66,plain,( 0.22/0.50 sF1 = sF2 | $less(sF1,sF2) | spl3_5), 0.22/0.50 inference(resolution,[],[f10,f41])). 0.22/0.50 tff(f49,plain,( 0.22/0.50 spl3_6 | ~spl3_2), 0.22/0.50 inference(avatar_split_clause,[],[f44,f26,f47])). 0.22/0.50 tff(f47,plain,( 0.22/0.50 spl3_6 <=> $less(sF1,$sum(sK0,1.0))), 0.22/0.50 introduced(avatar_definition,[new_symbols(naming,[spl3_6])])). 0.22/0.50 tff(f44,plain,( 0.22/0.50 $less(sF1,$sum(sK0,1.0)) | ~spl3_2), 0.22/0.50 inference(superposition,[],[f15,f27])). 0.22/0.50 tff(f15,plain,( 0.22/0.50 ( ! [X0 : $real] : ($less($ceiling(X0),$sum(X0,1.0))) )), 0.22/0.50 introduced(theory_axiom_173,[])). 0.22/0.50 tff(f42,plain,( 0.22/0.50 ~spl3_5 | ~spl3_3), 0.22/0.50 inference(avatar_split_clause,[],[f38,f30,f40])). 0.22/0.50 tff(f38,plain,( 0.22/0.50 ~$less(sF2,sF1) | ~spl3_3), 0.22/0.50 inference(superposition,[],[f14,f31])). 0.22/0.50 tff(f14,plain,( 0.22/0.50 ( ! [X0 : $real] : (~$less($ceiling(X0),X0)) )), 0.22/0.50 introduced(theory_axiom_172,[])). 0.22/0.50 tff(f37,plain,( 0.22/0.50 ~spl3_4 | ~spl3_2), 0.22/0.50 inference(avatar_split_clause,[],[f33,f26,f35])). 0.22/0.50 tff(f33,plain,( 0.22/0.50 ~$less(sF1,sK0) | ~spl3_2), 0.22/0.50 inference(superposition,[],[f14,f27])). 0.22/0.50 tff(f32,plain,( 0.22/0.50 spl3_3), 0.22/0.50 inference(avatar_split_clause,[],[f19,f30])). 0.22/0.50 tff(f19,plain,( 0.22/0.50 $ceiling(sF1) = sF2), 0.22/0.50 introduced(function_definition,[new_symbols(definition,[sF2])])). 0.22/0.50 tff(f28,plain,( 0.22/0.50 spl3_2), 0.22/0.50 inference(avatar_split_clause,[],[f18,f26])). 0.22/0.50 tff(f18,plain,( 0.22/0.50 $ceiling(sK0) = sF1), 0.22/0.50 introduced(function_definition,[new_symbols(definition,[sF1])])). 0.22/0.50 tff(f24,plain,( 0.22/0.50 ~spl3_1), 0.22/0.50 inference(avatar_split_clause,[],[f20,f22])). 0.22/0.50 tff(f20,plain,( 0.22/0.50 sF1 != sF2), 0.22/0.50 inference(definition_folding,[],[f17,f19,f18,f18])). 0.22/0.50 tff(f17,plain,( 0.22/0.50 $ceiling(sK0) != $ceiling($ceiling(sK0))), 0.22/0.50 inference(cnf_transformation,[],[f16])). 0.22/0.50 tff(f16,plain,( 0.22/0.50 ? [X0 : $real] : $ceiling(X0) != $ceiling($ceiling(X0))), 0.22/0.50 inference(ennf_transformation,[],[f2])). 0.22/0.50 tff(f2,negated_conjecture,( 0.22/0.50 ~! [X0 : $real] : $ceiling(X0) = $ceiling($ceiling(X0))), 0.22/0.50 inference(negated_conjecture,[],[f1])). 0.22/0.50 tff(f1,conjecture,( 0.22/0.50 ! [X0 : $real] : $ceiling(X0) = $ceiling($ceiling(X0))), 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)). 0.22/0.50 % SZS output end Proof for theBenchmark 0.22/0.50 % (4783)------------------------------ 0.22/0.50 % (4783)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100) 0.22/0.50 % (4783)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d 0.22/0.50 % (4783)Termination reason: Refutation 0.22/0.50 0.22/0.50 % (4783)Memory used [KB]: 877 0.22/0.50 % (4783)Time elapsed: 0.079 s 0.22/0.50 % (4783)Instructions burned: 144 (million) 0.22/0.50 % (4783)------------------------------ 0.22/0.50 % (4783)------------------------------ 0.22/0.50 % (4781)Success in time 0.132 s 0.22/0.50 EOF