0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : run_vampire %s %d THM 0.12/0.33 % Computer : n005.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 : 1440 0.12/0.33 % WCLimit : 180 0.12/0.33 % DateTime : Thu Jul 4 05:54:39 EDT 2024 0.12/0.33 % CPUTime : 0.12/0.35 This is a THF_ problem 0.12/0.35 Running higher-order theorem proving 0.12/0.36 Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.nClkfcJMkK/E---3.1_5198.p -m 16384 -t 180 0.12/0.38 % (5448)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on E---3.1_5198 for (1799ds/4Mi) 0.12/0.38 % (5451)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_5198 for (1799ds/2Mi) 0.12/0.38 % (5450)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on E---3.1_5198 for (1799ds/27Mi) 0.12/0.38 % (5453)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on E---3.1_5198 for (1799ds/275Mi) 0.12/0.38 % (5447)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_5198 for (1799ds/183Mi) 0.12/0.38 % (5452)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on E---3.1_5198 for (1799ds/2Mi) 0.12/0.38 % (5454)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_5198 for (1799ds/18Mi) 0.12/0.38 % (5451)Instruction limit reached! 0.12/0.38 % (5451)------------------------------ 0.12/0.38 % (5451)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.12/0.38 % (5451)Termination reason: Unknown 0.12/0.38 % (5451)Termination phase: Property scanning 0.12/0.38 0.12/0.38 % (5451)Memory used [KB]: 895 0.12/0.38 % (5451)Time elapsed: 0.004 s 0.12/0.38 % (5451)Instructions burned: 2 (million) 0.12/0.38 % (5451)------------------------------ 0.12/0.38 % (5451)------------------------------ 0.12/0.38 % (5452)Instruction limit reached! 0.12/0.38 % (5452)------------------------------ 0.12/0.38 % (5452)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.12/0.38 % (5452)Termination reason: Unknown 0.12/0.38 % (5452)Termination phase: Saturation 0.12/0.38 0.12/0.38 % (5452)Memory used [KB]: 895 0.12/0.38 % (5452)Time elapsed: 0.003 s 0.12/0.38 % (5452)Instructions burned: 2 (million) 0.12/0.38 % (5452)------------------------------ 0.12/0.38 % (5452)------------------------------ 0.12/0.38 % (5448)Instruction limit reached! 0.12/0.38 % (5448)------------------------------ 0.12/0.38 % (5448)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.12/0.38 % (5448)Termination reason: Unknown 0.12/0.38 % (5448)Termination phase: Saturation 0.12/0.38 0.12/0.38 % (5448)Memory used [KB]: 5500 0.12/0.38 % (5448)Time elapsed: 0.006 s 0.12/0.38 % (5448)Instructions burned: 4 (million) 0.12/0.38 % (5448)------------------------------ 0.12/0.38 % (5448)------------------------------ 0.12/0.39 % (5447)First to succeed. 0.12/0.40 % (5454)Instruction limit reached! 0.12/0.40 % (5454)------------------------------ 0.12/0.40 % (5454)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.12/0.40 % (5454)Termination reason: Unknown 0.12/0.40 % (5454)Termination phase: Saturation 0.12/0.40 0.12/0.40 % (5454)Memory used [KB]: 5628 0.12/0.40 % (5454)Time elapsed: 0.018 s 0.12/0.40 % (5454)Instructions burned: 19 (million) 0.12/0.40 % (5454)------------------------------ 0.12/0.40 % (5454)------------------------------ 0.12/0.40 % (5447)Refutation found. Thanks to Tanya! 0.12/0.40 % SZS status Theorem for E---3.1_5198 0.12/0.40 % SZS output start Proof for E---3.1_5198 0.12/0.40 thf(type_def_5, type, a: $tType). 0.12/0.40 thf(func_def_0, type, a: $tType). 0.12/0.40 thf(func_def_1, type, cQ: a > a > $o). 0.12/0.40 thf(func_def_5, type, sK0: a). 0.12/0.40 thf(func_def_6, type, sK1: a). 0.12/0.40 thf(func_def_7, type, sK2: a). 0.12/0.40 thf(func_def_8, type, sK3: a). 0.12/0.40 thf(func_def_9, type, sK4: a). 0.12/0.40 thf(func_def_10, type, sK5: a). 0.12/0.40 thf(func_def_11, type, sK6: a > a > $o). 0.12/0.40 thf(func_def_12, type, sK7: a > a). 0.12/0.40 thf(f174,plain,( 0.12/0.40 $false), 0.12/0.40 inference(avatar_sat_refutation,[],[f38,f47,f48,f53,f54,f55,f64,f88,f173])). 0.12/0.40 thf(f173,plain,( 0.12/0.40 ~spl8_3 | ~spl8_5 | spl8_6), 0.12/0.40 inference(avatar_contradiction_clause,[],[f172])). 0.12/0.40 thf(f172,plain,( 0.12/0.40 $false | (~spl8_3 | ~spl8_5 | spl8_6)), 0.12/0.40 inference(subsumption_resolution,[],[f167,f16])). 0.12/0.40 thf(f16,plain,( 0.12/0.40 ( ! [X7 : a] : (($true = (sK6 @ X7 @ X7))) )), 0.12/0.40 inference(cnf_transformation,[],[f14])). 0.12/0.40 thf(f14,plain,( 0.12/0.40 (((cQ @ sK0 @ sK0) != $true) | (($true != (cQ @ sK2 @ sK1)) & ((cQ @ sK1 @ sK2) = $true)) | (((cQ @ sK4 @ sK3) = $true) & ($true = (cQ @ sK5 @ sK4)) & ($true != (cQ @ sK5 @ sK3)))) & ! [X7 : a] : (((sK6 @ X7 @ (sK7 @ X7)) = $true) & ($true = (sK6 @ X7 @ X7)) & ! [X9 : a] : (((sK6 @ X7 @ X9) != $true) | ! [X10 : a] : ((cQ @ X9 @ X10) = (sK6 @ X7 @ X10))))), 0.12/0.40 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7])],[f8,f13,f12,f11,f10,f9])). 0.12/0.40 thf(f9,plain,( 0.12/0.40 ? [X0 : a] : ((cQ @ X0 @ X0) != $true) => ((cQ @ sK0 @ sK0) != $true)), 0.12/0.40 introduced(choice_axiom,[])). 0.12/0.40 thf(f10,plain,( 0.12/0.40 ? [X1 : a,X2 : a] : (($true != (cQ @ X2 @ X1)) & ((cQ @ X1 @ X2) = $true)) => (($true != (cQ @ sK2 @ sK1)) & ((cQ @ sK1 @ sK2) = $true))), 0.12/0.40 introduced(choice_axiom,[])). 0.12/0.40 thf(f11,plain,( 0.12/0.40 ? [X3 : a,X4 : a,X5 : a] : (((cQ @ X4 @ X3) = $true) & ((cQ @ X5 @ X4) = $true) & ($true != (cQ @ X5 @ X3))) => (((cQ @ sK4 @ sK3) = $true) & ($true = (cQ @ sK5 @ sK4)) & ($true != (cQ @ sK5 @ sK3)))), 0.12/0.40 introduced(choice_axiom,[])). 0.12/0.40 thf(f12,plain,( 0.12/0.40 ? [X6 : a > a > $o] : ! [X7 : a] : (? [X8 : a] : ($true = (X6 @ X7 @ X8)) & ($true = (X6 @ X7 @ X7)) & ! [X9 : a] : (($true != (X6 @ X7 @ X9)) | ! [X10 : a] : ((X6 @ X7 @ X10) = (cQ @ X9 @ X10)))) => ! [X7 : a] : (? [X8 : a] : ($true = (sK6 @ X7 @ X8)) & ($true = (sK6 @ X7 @ X7)) & ! [X9 : a] : (((sK6 @ X7 @ X9) != $true) | ! [X10 : a] : ((cQ @ X9 @ X10) = (sK6 @ X7 @ X10))))), 0.12/0.40 introduced(choice_axiom,[])). 0.12/0.40 thf(f13,plain,( 0.12/0.40 ! [X7 : a] : (? [X8 : a] : ($true = (sK6 @ X7 @ X8)) => ((sK6 @ X7 @ (sK7 @ X7)) = $true))), 0.12/0.40 introduced(choice_axiom,[])). 0.12/0.40 thf(f8,plain,( 0.12/0.40 (? [X0 : a] : ((cQ @ X0 @ X0) != $true) | ? [X1 : a,X2 : a] : (($true != (cQ @ X2 @ X1)) & ((cQ @ X1 @ X2) = $true)) | ? [X3 : a,X4 : a,X5 : a] : (((cQ @ X4 @ X3) = $true) & ((cQ @ X5 @ X4) = $true) & ($true != (cQ @ X5 @ X3)))) & ? [X6 : a > a > $o] : ! [X7 : a] : (? [X8 : a] : ($true = (X6 @ X7 @ X8)) & ($true = (X6 @ X7 @ X7)) & ! [X9 : a] : (($true != (X6 @ X7 @ X9)) | ! [X10 : a] : ((X6 @ X7 @ X10) = (cQ @ X9 @ X10))))), 0.12/0.40 inference(rectify,[],[f7])). 0.12/0.40 thf(f7,plain,( 0.12/0.40 (? [X5 : a] : ($true != (cQ @ X5 @ X5)) | ? [X10 : a,X9 : a] : (($true != (cQ @ X9 @ X10)) & ($true = (cQ @ X10 @ X9))) | ? [X7 : a,X6 : a,X8 : a] : (($true = (cQ @ X6 @ X7)) & ($true = (cQ @ X8 @ X6)) & ((cQ @ X8 @ X7) != $true))) & ? [X0 : a > a > $o] : ! [X1 : a] : (? [X4 : a] : ((X0 @ X1 @ X4) = $true) & ($true = (X0 @ X1 @ X1)) & ! [X2 : a] : (($true != (X0 @ X1 @ X2)) | ! [X3 : a] : ((cQ @ X2 @ X3) = (X0 @ X1 @ X3))))), 0.12/0.40 inference(flattening,[],[f6])). 0.12/0.40 thf(f6,plain,( 0.12/0.40 (? [X5 : a] : ($true != (cQ @ X5 @ X5)) | ? [X10 : a,X9 : a] : (($true != (cQ @ X9 @ X10)) & ($true = (cQ @ X10 @ X9))) | ? [X6 : a,X7 : a,X8 : a] : (((cQ @ X8 @ X7) != $true) & (($true = (cQ @ X8 @ X6)) & ($true = (cQ @ X6 @ X7))))) & ? [X0 : a > a > $o] : ! [X1 : a] : (? [X4 : a] : ((X0 @ X1 @ X4) = $true) & ($true = (X0 @ X1 @ X1)) & ! [X2 : a] : (($true != (X0 @ X1 @ X2)) | ! [X3 : a] : ((cQ @ X2 @ X3) = (X0 @ X1 @ X3))))), 0.12/0.40 inference(ennf_transformation,[],[f5])). 0.12/0.40 thf(f5,plain,( 0.12/0.40 ~(? [X0 : a > a > $o] : ! [X1 : a] : (? [X4 : a] : ((X0 @ X1 @ X4) = $true) & ! [X2 : a] : (($true = (X0 @ X1 @ X2)) => ! [X3 : a] : ((cQ @ X2 @ X3) = (X0 @ X1 @ X3))) & ($true = (X0 @ X1 @ X1))) => (! [X5 : a] : ($true = (cQ @ X5 @ X5)) & ! [X9 : a,X10 : a] : (($true = (cQ @ X10 @ X9)) => ($true = (cQ @ X9 @ X10))) & ! [X6 : a,X7 : a,X8 : a] : ((($true = (cQ @ X8 @ X6)) & ($true = (cQ @ X6 @ X7))) => ((cQ @ X8 @ X7) = $true))))), 0.12/0.40 inference(fool_elimination,[],[f4])). 0.12/0.40 thf(f4,plain,( 0.12/0.40 ~(? [X0 : a > a > $o] : ! [X1 : a] : (! [X2 : a] : ((X0 @ X1 @ X2) => ! [X3 : a] : ((X0 @ X1 @ X3) <=> (cQ @ X2 @ X3))) & ? [X4 : a] : (X0 @ X1 @ X4) & (X0 @ X1 @ X1)) => (! [X5 : a] : (cQ @ X5 @ X5) & ! [X6 : a,X7 : a,X8 : a] : (((cQ @ X6 @ X7) & (cQ @ X8 @ X6)) => (cQ @ X8 @ X7)) & ! [X9 : a,X10 : a] : ((cQ @ X10 @ X9) => (cQ @ X9 @ X10))))), 0.12/0.40 inference(rectify,[],[f2])). 0.12/0.40 thf(f2,negated_conjecture,( 0.12/0.40 ~(? [X3 : a > a > $o] : ! [X0 : a] : (! [X4 : a] : ((X3 @ X0 @ X4) => ! [X1 : a] : ((X3 @ X0 @ X1) <=> (cQ @ X4 @ X1))) & ? [X2 : a] : (X3 @ X0 @ X2) & (X3 @ X0 @ X0)) => (! [X0 : a] : (cQ @ X0 @ X0) & ! [X1 : a,X2 : a,X0 : a] : (((cQ @ X1 @ X2) & (cQ @ X0 @ X1)) => (cQ @ X0 @ X2)) & ! [X1 : a,X0 : a] : ((cQ @ X0 @ X1) => (cQ @ X1 @ X0))))), 0.12/0.40 inference(negated_conjecture,[],[f1])). 0.12/0.40 thf(f1,conjecture,( 0.12/0.40 ? [X3 : a > a > $o] : ! [X0 : a] : (! [X4 : a] : ((X3 @ X0 @ X4) => ! [X1 : a] : ((X3 @ X0 @ X1) <=> (cQ @ X4 @ X1))) & ? [X2 : a] : (X3 @ X0 @ X2) & (X3 @ X0 @ X0)) => (! [X0 : a] : (cQ @ X0 @ X0) & ! [X1 : a,X2 : a,X0 : a] : (((cQ @ X1 @ X2) & (cQ @ X0 @ X1)) => (cQ @ X0 @ X2)) & ! [X1 : a,X0 : a] : ((cQ @ X0 @ X1) => (cQ @ X1 @ X0)))), 0.12/0.40 file('/export/starexec/sandbox/tmp/tmp.nClkfcJMkK/E---3.1_5198.p',cTHM559A_pme)). 0.12/0.40 thf(f167,plain,( 0.12/0.40 ((sK6 @ sK5 @ sK5) != $true) | (~spl8_3 | ~spl8_5 | spl8_6)), 0.12/0.40 inference(trivial_inequality_removal,[],[f163])). 0.12/0.40 thf(f163,plain,( 0.12/0.40 ((sK6 @ sK5 @ sK5) != $true) | ($false = $true) | (~spl8_3 | ~spl8_5 | spl8_6)), 0.12/0.40 inference(superposition,[],[f152,f46])). 0.12/0.40 thf(f46,plain,( 0.12/0.40 ($true = (cQ @ sK5 @ sK4)) | ~spl8_5), 0.12/0.40 inference(avatar_component_clause,[],[f44])). 0.12/0.40 thf(f44,plain,( 0.12/0.40 spl8_5 <=> ($true = (cQ @ sK5 @ sK4))), 0.12/0.40 introduced(avatar_definition,[new_symbols(naming,[spl8_5])])). 0.12/0.40 thf(f152,plain,( 0.12/0.40 ( ! [X0 : a] : (($false = (cQ @ X0 @ sK4)) | ($true != (sK6 @ sK5 @ X0))) ) | (~spl8_3 | spl8_6)), 0.12/0.40 inference(trivial_inequality_removal,[],[f151])). 0.12/0.40 thf(f151,plain,( 0.12/0.40 ( ! [X0 : a] : (($false = (cQ @ X0 @ sK4)) | ($true != $true) | ($true != (sK6 @ sK5 @ X0))) ) | (~spl8_3 | spl8_6)), 0.12/0.40 inference(superposition,[],[f150,f25])). 0.12/0.40 thf(f25,plain,( 0.12/0.40 ( ! [X10 : a,X9 : a,X7 : a] : (($true = (sK6 @ X7 @ X10)) | ($false = (cQ @ X9 @ X10)) | ((sK6 @ X7 @ X9) != $true)) )), 0.12/0.40 inference(binary_proxy_clausification,[],[f15])). 0.12/0.40 thf(f15,plain,( 0.12/0.40 ( ! [X10 : a,X9 : a,X7 : a] : (((sK6 @ X7 @ X9) != $true) | ((cQ @ X9 @ X10) = (sK6 @ X7 @ X10))) )), 0.12/0.40 inference(cnf_transformation,[],[f14])). 0.12/0.40 thf(f150,plain,( 0.12/0.40 ((sK6 @ sK5 @ sK4) != $true) | (~spl8_3 | spl8_6)), 0.12/0.40 inference(trivial_inequality_removal,[],[f147])). 0.12/0.40 thf(f147,plain,( 0.12/0.40 ($true != $true) | ((sK6 @ sK5 @ sK4) != $true) | (~spl8_3 | spl8_6)), 0.12/0.40 inference(superposition,[],[f145,f16])). 0.12/0.40 thf(f145,plain,( 0.12/0.40 ( ! [X0 : a] : (($true != (sK6 @ X0 @ sK5)) | ($true != (sK6 @ X0 @ sK4))) ) | (~spl8_3 | spl8_6)), 0.12/0.40 inference(trivial_inequality_removal,[],[f140])). 0.12/0.40 thf(f140,plain,( 0.12/0.40 ( ! [X0 : a] : (($true != (sK6 @ X0 @ sK4)) | ($false = $true) | ($true != (sK6 @ X0 @ sK5))) ) | (~spl8_3 | spl8_6)), 0.12/0.40 inference(superposition,[],[f37,f113])). 0.12/0.40 thf(f113,plain,( 0.12/0.40 ( ! [X0 : a,X1 : a] : (($false = (cQ @ X1 @ sK3)) | ($true != (sK6 @ X0 @ sK5)) | ((sK6 @ X0 @ X1) != $true)) ) | spl8_6), 0.12/0.40 inference(trivial_inequality_removal,[],[f107])). 0.12/0.40 thf(f107,plain,( 0.12/0.40 ( ! [X0 : a,X1 : a] : (((sK6 @ X0 @ X1) != $true) | ($false = (cQ @ X1 @ sK3)) | ($true != (sK6 @ X0 @ sK5)) | ($false = $true)) ) | spl8_6), 0.12/0.40 inference(superposition,[],[f93,f25])). 0.12/0.40 thf(f93,plain,( 0.12/0.40 ( ! [X0 : a] : (($false = (sK6 @ X0 @ sK3)) | ($true != (sK6 @ X0 @ sK5))) ) | spl8_6), 0.12/0.40 inference(trivial_inequality_removal,[],[f92])). 0.12/0.40 thf(f92,plain,( 0.12/0.40 ( ! [X0 : a] : (($true != (sK6 @ X0 @ sK5)) | ($false = (sK6 @ X0 @ sK3)) | ($true != $true)) ) | spl8_6), 0.12/0.40 inference(superposition,[],[f52,f24])). 0.12/0.40 thf(f24,plain,( 0.12/0.40 ( ! [X10 : a,X9 : a,X7 : a] : (($true = (cQ @ X9 @ X10)) | ((sK6 @ X7 @ X9) != $true) | ($false = (sK6 @ X7 @ X10))) )), 0.12/0.40 inference(binary_proxy_clausification,[],[f15])). 0.12/0.40 thf(f52,plain,( 0.12/0.40 ($true != (cQ @ sK5 @ sK3)) | spl8_6), 0.12/0.40 inference(avatar_component_clause,[],[f50])). 0.12/0.40 thf(f50,plain,( 0.12/0.40 spl8_6 <=> ($true = (cQ @ sK5 @ sK3))), 0.12/0.40 introduced(avatar_definition,[new_symbols(naming,[spl8_6])])). 0.12/0.40 thf(f37,plain,( 0.12/0.40 ((cQ @ sK4 @ sK3) = $true) | ~spl8_3), 0.12/0.40 inference(avatar_component_clause,[],[f35])). 0.12/0.40 thf(f35,plain,( 0.12/0.40 spl8_3 <=> ((cQ @ sK4 @ sK3) = $true)), 0.12/0.40 introduced(avatar_definition,[new_symbols(naming,[spl8_3])])). 0.12/0.40 thf(f88,plain,( 0.12/0.40 spl8_1 | ~spl8_4), 0.12/0.40 inference(avatar_contradiction_clause,[],[f87])). 0.12/0.40 thf(f87,plain,( 0.12/0.40 $false | (spl8_1 | ~spl8_4)), 0.12/0.40 inference(subsumption_resolution,[],[f81,f16])). 0.12/0.40 thf(f81,plain,( 0.12/0.40 ((sK6 @ sK1 @ sK1) != $true) | (spl8_1 | ~spl8_4)), 0.12/0.40 inference(trivial_inequality_removal,[],[f78])). 0.12/0.40 thf(f78,plain,( 0.12/0.40 ((sK6 @ sK1 @ sK1) != $true) | ($false = $true) | (spl8_1 | ~spl8_4)), 0.12/0.40 inference(superposition,[],[f76,f42])). 0.12/0.40 thf(f42,plain,( 0.12/0.40 ((cQ @ sK1 @ sK2) = $true) | ~spl8_4), 0.12/0.40 inference(avatar_component_clause,[],[f40])). 0.12/0.40 thf(f40,plain,( 0.12/0.40 spl8_4 <=> ((cQ @ sK1 @ sK2) = $true)), 0.12/0.40 introduced(avatar_definition,[new_symbols(naming,[spl8_4])])). 0.12/0.40 thf(f76,plain,( 0.12/0.40 ( ! [X0 : a] : (($false = (cQ @ X0 @ sK2)) | ($true != (sK6 @ sK1 @ X0))) ) | spl8_1), 0.12/0.40 inference(trivial_inequality_removal,[],[f75])). 0.12/0.40 thf(f75,plain,( 0.12/0.40 ( ! [X0 : a] : (($true != $true) | ($false = (cQ @ X0 @ sK2)) | ($true != (sK6 @ sK1 @ X0))) ) | spl8_1), 0.12/0.40 inference(superposition,[],[f70,f25])). 0.12/0.40 thf(f70,plain,( 0.12/0.40 ((sK6 @ sK1 @ sK2) != $true) | spl8_1), 0.12/0.40 inference(trivial_inequality_removal,[],[f68])). 0.12/0.40 thf(f68,plain,( 0.12/0.40 ($false = $true) | ((sK6 @ sK1 @ sK2) != $true) | spl8_1), 0.12/0.40 inference(superposition,[],[f16,f66])). 0.12/0.40 thf(f66,plain,( 0.12/0.40 ( ! [X0 : a] : (($false = (sK6 @ X0 @ sK1)) | ((sK6 @ X0 @ sK2) != $true)) ) | spl8_1), 0.12/0.40 inference(trivial_inequality_removal,[],[f65])). 0.12/0.40 thf(f65,plain,( 0.12/0.40 ( ! [X0 : a] : (((sK6 @ X0 @ sK2) != $true) | ($true != $true) | ($false = (sK6 @ X0 @ sK1))) ) | spl8_1), 0.12/0.40 inference(superposition,[],[f29,f24])). 0.12/0.40 thf(f29,plain,( 0.12/0.40 ($true != (cQ @ sK2 @ sK1)) | spl8_1), 0.12/0.40 inference(avatar_component_clause,[],[f27])). 0.12/0.40 thf(f27,plain,( 0.12/0.40 spl8_1 <=> ($true = (cQ @ sK2 @ sK1))), 0.12/0.40 introduced(avatar_definition,[new_symbols(naming,[spl8_1])])). 0.12/0.40 thf(f64,plain,( 0.12/0.40 spl8_2), 0.12/0.40 inference(avatar_contradiction_clause,[],[f63])). 0.12/0.40 thf(f63,plain,( 0.12/0.40 $false | spl8_2), 0.12/0.40 inference(subsumption_resolution,[],[f60,f16])). 0.12/0.40 thf(f60,plain,( 0.12/0.40 ((sK6 @ sK0 @ sK0) != $true) | spl8_2), 0.12/0.40 inference(trivial_inequality_removal,[],[f59])). 0.12/0.40 thf(f59,plain,( 0.12/0.40 ($false = $true) | ((sK6 @ sK0 @ sK0) != $true) | spl8_2), 0.12/0.40 inference(superposition,[],[f16,f57])). 0.12/0.40 thf(f57,plain,( 0.12/0.40 ( ! [X0 : a] : (($false = (sK6 @ X0 @ sK0)) | ($true != (sK6 @ X0 @ sK0))) ) | spl8_2), 0.12/0.40 inference(trivial_inequality_removal,[],[f56])). 0.12/0.40 thf(f56,plain,( 0.12/0.40 ( ! [X0 : a] : (($false = (sK6 @ X0 @ sK0)) | ($true != (sK6 @ X0 @ sK0)) | ($true != $true)) ) | spl8_2), 0.12/0.40 inference(superposition,[],[f33,f24])). 0.12/0.40 thf(f33,plain,( 0.12/0.40 ((cQ @ sK0 @ sK0) != $true) | spl8_2), 0.12/0.40 inference(avatar_component_clause,[],[f31])). 0.12/0.40 thf(f31,plain,( 0.12/0.40 spl8_2 <=> ((cQ @ sK0 @ sK0) = $true)), 0.12/0.40 introduced(avatar_definition,[new_symbols(naming,[spl8_2])])). 0.12/0.40 thf(f55,plain,( 0.12/0.40 ~spl8_2 | ~spl8_1 | ~spl8_6), 0.12/0.40 inference(avatar_split_clause,[],[f21,f50,f27,f31])). 0.12/0.40 thf(f21,plain,( 0.12/0.40 ($true != (cQ @ sK2 @ sK1)) | ((cQ @ sK0 @ sK0) != $true) | ($true != (cQ @ sK5 @ sK3))), 0.12/0.40 inference(cnf_transformation,[],[f14])). 0.12/0.40 thf(f54,plain,( 0.12/0.40 spl8_5 | ~spl8_2 | ~spl8_1), 0.12/0.40 inference(avatar_split_clause,[],[f22,f27,f31,f44])). 0.12/0.40 thf(f22,plain,( 0.12/0.40 ($true = (cQ @ sK5 @ sK4)) | ($true != (cQ @ sK2 @ sK1)) | ((cQ @ sK0 @ sK0) != $true)), 0.12/0.40 inference(cnf_transformation,[],[f14])). 0.12/0.40 thf(f53,plain,( 0.12/0.40 ~spl8_6 | spl8_4 | ~spl8_2), 0.12/0.40 inference(avatar_split_clause,[],[f18,f31,f40,f50])). 0.12/0.40 thf(f18,plain,( 0.12/0.40 ((cQ @ sK1 @ sK2) = $true) | ($true != (cQ @ sK5 @ sK3)) | ((cQ @ sK0 @ sK0) != $true)), 0.12/0.40 inference(cnf_transformation,[],[f14])). 0.12/0.40 thf(f48,plain,( 0.12/0.40 ~spl8_2 | spl8_4 | spl8_3), 0.12/0.40 inference(avatar_split_clause,[],[f20,f35,f40,f31])). 0.12/0.40 thf(f20,plain,( 0.12/0.40 ((cQ @ sK1 @ sK2) = $true) | ((cQ @ sK0 @ sK0) != $true) | ((cQ @ sK4 @ sK3) = $true)), 0.12/0.40 inference(cnf_transformation,[],[f14])). 0.12/0.40 thf(f47,plain,( 0.12/0.40 spl8_4 | ~spl8_2 | spl8_5), 0.12/0.40 inference(avatar_split_clause,[],[f19,f44,f31,f40])). 0.12/0.40 thf(f19,plain,( 0.12/0.40 ((cQ @ sK1 @ sK2) = $true) | ($true = (cQ @ sK5 @ sK4)) | ((cQ @ sK0 @ sK0) != $true)), 0.12/0.40 inference(cnf_transformation,[],[f14])). 0.12/0.40 thf(f38,plain,( 0.12/0.40 ~spl8_1 | ~spl8_2 | spl8_3), 0.12/0.40 inference(avatar_split_clause,[],[f23,f35,f31,f27])). 0.12/0.40 thf(f23,plain,( 0.12/0.40 ((cQ @ sK4 @ sK3) = $true) | ((cQ @ sK0 @ sK0) != $true) | ($true != (cQ @ sK2 @ sK1))), 0.12/0.40 inference(cnf_transformation,[],[f14])). 0.12/0.40 % SZS output end Proof for E---3.1_5198 0.12/0.40 % (5447)------------------------------ 0.12/0.40 % (5447)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.12/0.40 % (5447)Termination reason: Refutation 0.12/0.40 0.12/0.40 % (5447)Memory used [KB]: 5628 0.12/0.40 % (5447)Time elapsed: 0.017 s 0.12/0.40 % (5447)Instructions burned: 17 (million) 0.12/0.40 % (5447)------------------------------ 0.12/0.40 % (5447)------------------------------ 0.12/0.40 % (5444)Success in time 0.031 s 0.21/0.40 EOF