TSTP Solution File: SEV107^5 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV107^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 04:12:00 EDT 2024
% Result : Theorem 0.14s 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEV107^5 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun May 19 18:30:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_NEQ_NAR problem
% 0.14/0.35 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % (9835)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.37 % (9839)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.37 % (9840)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.14/0.37 % (9841)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.37 % (9839)Instruction limit reached!
% 0.14/0.37 % (9839)------------------------------
% 0.14/0.37 % (9839)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (9837)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 theBenchmark for (2999ds/27Mi)
% 0.14/0.37 % (9839)Termination reason: Unknown
% 0.14/0.37 % (9839)Termination phase: shuffling
% 0.14/0.37
% 0.14/0.37 % (9839)Memory used [KB]: 895
% 0.14/0.37 % (9839)Time elapsed: 0.003 s
% 0.14/0.37 % (9839)Instructions burned: 2 (million)
% 0.14/0.37 % (9839)------------------------------
% 0.14/0.37 % (9839)------------------------------
% 0.14/0.37 % (9838)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.37 % (9836)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 theBenchmark for (2999ds/4Mi)
% 0.14/0.37 % (9838)Instruction limit reached!
% 0.14/0.37 % (9838)------------------------------
% 0.14/0.37 % (9838)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (9838)Termination reason: Unknown
% 0.14/0.37 % (9838)Termination phase: Property scanning
% 0.14/0.37
% 0.14/0.37 % (9838)Memory used [KB]: 895
% 0.14/0.37 % (9838)Time elapsed: 0.003 s
% 0.14/0.37 % (9838)Instructions burned: 2 (million)
% 0.14/0.37 % (9838)------------------------------
% 0.14/0.37 % (9838)------------------------------
% 0.14/0.37 % (9835)First to succeed.
% 0.14/0.37 % (9836)Instruction limit reached!
% 0.14/0.37 % (9836)------------------------------
% 0.14/0.37 % (9836)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (9836)Termination reason: Unknown
% 0.14/0.37 % (9836)Termination phase: Saturation
% 0.14/0.37
% 0.14/0.37 % (9836)Memory used [KB]: 5500
% 0.14/0.37 % (9836)Time elapsed: 0.004 s
% 0.14/0.37 % (9836)Instructions burned: 4 (million)
% 0.14/0.37 % (9836)------------------------------
% 0.14/0.37 % (9836)------------------------------
% 0.14/0.37 % (9842)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.37 % (9842)Instruction limit reached!
% 0.14/0.37 % (9842)------------------------------
% 0.14/0.37 % (9842)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (9842)Termination reason: Unknown
% 0.14/0.37 % (9842)Termination phase: Saturation
% 0.14/0.37
% 0.14/0.37 % (9842)Memory used [KB]: 1023
% 0.14/0.37 % (9842)Time elapsed: 0.004 s
% 0.14/0.37 % (9842)Instructions burned: 3 (million)
% 0.14/0.37 % (9842)------------------------------
% 0.14/0.37 % (9842)------------------------------
% 0.14/0.37 % (9835)Refutation found. Thanks to Tanya!
% 0.14/0.37 % SZS status Theorem for theBenchmark
% 0.14/0.37 % SZS output start Proof for theBenchmark
% 0.14/0.37 thf(type_def_5, type, a: $tType).
% 0.14/0.37 thf(func_def_0, type, a: $tType).
% 0.14/0.37 thf(func_def_1, type, z: a).
% 0.14/0.37 thf(func_def_2, type, cR: a > a > $o).
% 0.14/0.37 thf(func_def_3, type, f: a > $i > $o).
% 0.14/0.37 thf(func_def_4, type, cS: $i > $i > $o).
% 0.14/0.37 thf(func_def_9, type, sK1: a).
% 0.14/0.37 thf(func_def_10, type, sK2: a).
% 0.14/0.37 thf(func_def_12, type, sK4: a > $i).
% 0.14/0.37 thf(func_def_14, type, sK6: a > a).
% 0.14/0.37 thf(func_def_15, type, sK7: a).
% 0.14/0.37 thf(func_def_16, type, sK8: $i > a).
% 0.14/0.37 thf(f153,plain,(
% 0.14/0.37 $false),
% 0.14/0.37 inference(avatar_sat_refutation,[],[f47,f54,f59,f64,f76,f81,f86,f90,f94,f96,f113,f149,f152])).
% 0.14/0.37 thf(f152,plain,(
% 0.14/0.37 ~spl9_1 | ~spl9_7),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f151])).
% 0.14/0.37 thf(f151,plain,(
% 0.14/0.37 $false | (~spl9_1 | ~spl9_7)),
% 0.14/0.37 inference(trivial_inequality_removal,[],[f150])).
% 0.14/0.37 thf(f150,plain,(
% 0.14/0.37 ($true != $true) | (~spl9_1 | ~spl9_7)),
% 0.14/0.37 inference(superposition,[],[f38,f63])).
% 0.14/0.37 thf(f63,plain,(
% 0.14/0.37 ((f @ sK1 @ sK3) = $true) | ~spl9_7),
% 0.14/0.37 inference(avatar_component_clause,[],[f61])).
% 0.14/0.37 thf(f61,plain,(
% 0.14/0.37 spl9_7 <=> ((f @ sK1 @ sK3) = $true)),
% 0.14/0.37 introduced(avatar_definition,[new_symbols(naming,[spl9_7])])).
% 0.14/0.37 thf(f38,plain,(
% 0.14/0.37 ( ! [X3 : a] : (((f @ X3 @ sK3) != $true)) ) | ~spl9_1),
% 0.14/0.37 inference(avatar_component_clause,[],[f37])).
% 0.14/0.37 thf(f37,plain,(
% 0.14/0.37 spl9_1 <=> ! [X3 : a] : ((f @ X3 @ sK3) != $true)),
% 0.14/0.37 introduced(avatar_definition,[new_symbols(naming,[spl9_1])])).
% 0.14/0.37 thf(f149,plain,(
% 0.14/0.37 ~spl9_2 | ~spl9_7 | spl9_12),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f148])).
% 0.14/0.37 thf(f148,plain,(
% 0.14/0.37 $false | (~spl9_2 | ~spl9_7 | spl9_12)),
% 0.14/0.37 inference(subsumption_resolution,[],[f146,f42])).
% 0.14/0.37 thf(f42,plain,(
% 0.14/0.37 ((f @ sK2 @ sK3) = $true) | ~spl9_2),
% 0.14/0.37 inference(avatar_component_clause,[],[f40])).
% 0.14/0.37 thf(f40,plain,(
% 0.14/0.37 spl9_2 <=> ((f @ sK2 @ sK3) = $true)),
% 0.14/0.37 introduced(avatar_definition,[new_symbols(naming,[spl9_2])])).
% 0.14/0.37 thf(f146,plain,(
% 0.14/0.37 ((f @ sK2 @ sK3) != $true) | (~spl9_7 | spl9_12)),
% 0.14/0.37 inference(trivial_inequality_removal,[],[f144])).
% 0.14/0.37 thf(f144,plain,(
% 0.14/0.37 ((f @ sK2 @ sK3) != $true) | ($true != $true) | (~spl9_7 | spl9_12)),
% 0.14/0.37 inference(superposition,[],[f128,f63])).
% 0.14/0.37 thf(f128,plain,(
% 0.14/0.37 ( ! [X0 : $i] : (($true != (f @ sK1 @ X0)) | ((f @ sK2 @ X0) != $true)) ) | spl9_12),
% 0.14/0.37 inference(trivial_inequality_removal,[],[f122])).
% 0.14/0.37 thf(f122,plain,(
% 0.14/0.37 ( ! [X0 : $i] : (((f @ sK2 @ X0) != $true) | ($true != (f @ sK1 @ X0)) | ($true != $true)) ) | spl9_12),
% 0.14/0.37 inference(superposition,[],[f110,f29])).
% 0.14/0.37 thf(f29,plain,(
% 0.14/0.37 ( ! [X11 : $i,X12 : a,X13 : a] : (((cR @ X12 @ X13) = $true) | ((f @ X13 @ X11) != $true) | ((f @ X12 @ X11) != $true)) )),
% 0.14/0.37 inference(cnf_transformation,[],[f21])).
% 0.14/0.37 thf(f21,plain,(
% 0.14/0.37 ! [X0 : a] : ($true = (f @ X0 @ (sK4 @ X0))) & ! [X2,X3 : a,X4] : (($true = (cS @ X4 @ X2)) | ((f @ X3 @ X4) != $true) | ((f @ X3 @ X2) != $true)) & (! [X6 : a] : ((((f @ (sK6 @ X6) @ sK5) = $true) | ((cR @ X6 @ z) != $true)) & ((f @ X6 @ sK5) != $true)) | (sP0 = $true) | ! [X9] : ((((f @ (sK8 @ X9) @ X9) = $true) | ((cR @ sK7 @ z) != $true)) & ((f @ sK7 @ X9) != $true))) & ! [X11,X12 : a,X13 : a] : (((f @ X13 @ X11) != $true) | ((f @ X12 @ X11) != $true) | ((cR @ X12 @ X13) = $true)) & ! [X14 : a,X15 : a,X16 : a] : (((cR @ X15 @ X14) != $true) | ((cR @ X16 @ X15) = $true) | ((cR @ X16 @ X14) != $true)) & ! [X17 : a] : ((cR @ X17 @ X17) = $true)),
% 0.14/0.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8])],[f15,f20,f19,f18,f17,f16])).
% 0.14/0.37 thf(f16,plain,(
% 0.14/0.37 ! [X0 : a] : (? [X1] : ((f @ X0 @ X1) = $true) => ($true = (f @ X0 @ (sK4 @ X0))))),
% 0.14/0.37 introduced(choice_axiom,[])).
% 0.14/0.37 thf(f17,plain,(
% 0.14/0.37 ? [X5] : ! [X6 : a] : ? [X7 : a] : ((($true = (f @ X7 @ X5)) | ((cR @ X6 @ z) != $true)) & ((f @ X6 @ X5) != $true)) => ! [X6 : a] : ? [X7 : a] : ((((f @ X7 @ sK5) = $true) | ((cR @ X6 @ z) != $true)) & ((f @ X6 @ sK5) != $true))),
% 0.14/0.37 introduced(choice_axiom,[])).
% 0.14/0.37 thf(f18,plain,(
% 0.14/0.37 ! [X6 : a] : (? [X7 : a] : ((((f @ X7 @ sK5) = $true) | ((cR @ X6 @ z) != $true)) & ((f @ X6 @ sK5) != $true)) => ((((f @ (sK6 @ X6) @ sK5) = $true) | ((cR @ X6 @ z) != $true)) & ((f @ X6 @ sK5) != $true)))),
% 0.14/0.37 introduced(choice_axiom,[])).
% 0.14/0.37 thf(f19,plain,(
% 0.14/0.37 ? [X8 : a] : ! [X9] : ? [X10 : a] : ((((f @ X10 @ X9) = $true) | ((cR @ X8 @ z) != $true)) & ((f @ X8 @ X9) != $true)) => ! [X9] : ? [X10 : a] : ((((f @ X10 @ X9) = $true) | ((cR @ sK7 @ z) != $true)) & ((f @ sK7 @ X9) != $true))),
% 0.14/0.37 introduced(choice_axiom,[])).
% 0.14/0.37 thf(f20,plain,(
% 0.14/0.37 ! [X9] : (? [X10 : a] : ((((f @ X10 @ X9) = $true) | ((cR @ sK7 @ z) != $true)) & ((f @ sK7 @ X9) != $true)) => ((((f @ (sK8 @ X9) @ X9) = $true) | ((cR @ sK7 @ z) != $true)) & ((f @ sK7 @ X9) != $true)))),
% 0.14/0.37 introduced(choice_axiom,[])).
% 0.14/0.37 thf(f15,plain,(
% 0.14/0.37 ! [X0 : a] : ? [X1] : ((f @ X0 @ X1) = $true) & ! [X2,X3 : a,X4] : (($true = (cS @ X4 @ X2)) | ((f @ X3 @ X4) != $true) | ((f @ X3 @ X2) != $true)) & (? [X5] : ! [X6 : a] : ? [X7 : a] : ((($true = (f @ X7 @ X5)) | ((cR @ X6 @ z) != $true)) & ((f @ X6 @ X5) != $true)) | (sP0 = $true) | ? [X8 : a] : ! [X9] : ? [X10 : a] : ((((f @ X10 @ X9) = $true) | ((cR @ X8 @ z) != $true)) & ((f @ X8 @ X9) != $true))) & ! [X11,X12 : a,X13 : a] : (((f @ X13 @ X11) != $true) | ((f @ X12 @ X11) != $true) | ((cR @ X12 @ X13) = $true)) & ! [X14 : a,X15 : a,X16 : a] : (((cR @ X15 @ X14) != $true) | ((cR @ X16 @ X15) = $true) | ((cR @ X16 @ X14) != $true)) & ! [X17 : a] : ((cR @ X17 @ X17) = $true)),
% 0.14/0.37 inference(rectify,[],[f10])).
% 0.14/0.37 thf(f10,plain,(
% 0.14/0.37 ! [X4 : a] : ? [X5] : ($true = (f @ X4 @ X5)) & ! [X11,X9 : a,X10] : (((cS @ X10 @ X11) = $true) | ($true != (f @ X9 @ X10)) | ((f @ X9 @ X11) != $true)) & (? [X20] : ! [X21 : a] : ? [X22 : a] : ((((f @ X22 @ X20) = $true) | ((cR @ X21 @ z) != $true)) & ((f @ X21 @ X20) != $true)) | (sP0 = $true) | ? [X17 : a] : ! [X18] : ? [X19 : a] : ((((f @ X19 @ X18) = $true) | ((cR @ X17 @ z) != $true)) & ((f @ X17 @ X18) != $true))) & ! [X6,X8 : a,X7 : a] : (((f @ X7 @ X6) != $true) | ($true != (f @ X8 @ X6)) | ((cR @ X8 @ X7) = $true)) & ! [X3 : a,X2 : a,X1 : a] : (((cR @ X2 @ X3) != $true) | ((cR @ X1 @ X2) = $true) | ($true != (cR @ X1 @ X3))) & ! [X0 : a] : ((cR @ X0 @ X0) = $true)),
% 0.14/0.37 inference(definition_folding,[],[f8,f9])).
% 0.14/0.37 thf(f9,plain,(
% 0.14/0.37 ? [X12 : a,X13 : a,X14] : (! [X16 : a] : (((f @ X13 @ X14) = $true) | (((cR @ X13 @ z) = $true) & ((f @ X16 @ X14) != $true))) & ! [X15 : a] : ((((cR @ X12 @ z) = $true) & ((f @ X15 @ X14) != $true)) | ((f @ X12 @ X14) = $true)) & ((cR @ X12 @ X13) != $true)) | ~(sP0 = $true)),
% 0.14/0.37 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])).
% 0.14/0.37 thf(f8,plain,(
% 0.14/0.37 ! [X4 : a] : ? [X5] : ($true = (f @ X4 @ X5)) & ! [X11,X9 : a,X10] : (((cS @ X10 @ X11) = $true) | ($true != (f @ X9 @ X10)) | ((f @ X9 @ X11) != $true)) & (? [X20] : ! [X21 : a] : ? [X22 : a] : ((((f @ X22 @ X20) = $true) | ((cR @ X21 @ z) != $true)) & ((f @ X21 @ X20) != $true)) | ? [X12 : a,X13 : a,X14] : (! [X16 : a] : (((f @ X13 @ X14) = $true) | (((cR @ X13 @ z) = $true) & ((f @ X16 @ X14) != $true))) & ! [X15 : a] : ((((cR @ X12 @ z) = $true) & ((f @ X15 @ X14) != $true)) | ((f @ X12 @ X14) = $true)) & ((cR @ X12 @ X13) != $true)) | ? [X17 : a] : ! [X18] : ? [X19 : a] : ((((f @ X19 @ X18) = $true) | ((cR @ X17 @ z) != $true)) & ((f @ X17 @ X18) != $true))) & ! [X6,X8 : a,X7 : a] : (((f @ X7 @ X6) != $true) | ($true != (f @ X8 @ X6)) | ((cR @ X8 @ X7) = $true)) & ! [X3 : a,X2 : a,X1 : a] : (((cR @ X2 @ X3) != $true) | ((cR @ X1 @ X2) = $true) | ($true != (cR @ X1 @ X3))) & ! [X0 : a] : ((cR @ X0 @ X0) = $true)),
% 0.14/0.37 inference(flattening,[],[f7])).
% 0.14/0.37 thf(f7,plain,(
% 0.14/0.37 ((? [X17 : a] : ! [X18] : ? [X19 : a] : ((((f @ X19 @ X18) = $true) | ((cR @ X17 @ z) != $true)) & ((f @ X17 @ X18) != $true)) | ? [X14,X13 : a,X12 : a] : (((cR @ X12 @ X13) != $true) & (! [X16 : a] : (((f @ X13 @ X14) = $true) | (((cR @ X13 @ z) = $true) & ((f @ X16 @ X14) != $true))) & ! [X15 : a] : ((((cR @ X12 @ z) = $true) & ((f @ X15 @ X14) != $true)) | ((f @ X12 @ X14) = $true)))) | ? [X20] : ! [X21 : a] : ? [X22 : a] : ((((f @ X22 @ X20) = $true) | ((cR @ X21 @ z) != $true)) & ((f @ X21 @ X20) != $true))) & (! [X4 : a] : ? [X5] : ($true = (f @ X4 @ X5)) & ! [X8 : a,X6,X7 : a] : (((cR @ X8 @ X7) = $true) | (($true != (f @ X8 @ X6)) | ((f @ X7 @ X6) != $true))) & ! [X10,X9 : a,X11] : (((cS @ X10 @ X11) = $true) | (((f @ X9 @ X11) != $true) | ($true != (f @ X9 @ X10)))))) & (! [X2 : a,X1 : a,X3 : a] : (((cR @ X1 @ X2) = $true) | (($true != (cR @ X1 @ X3)) | ((cR @ X2 @ X3) != $true))) & ! [X0 : a] : ((cR @ X0 @ X0) = $true))),
% 0.14/0.37 inference(ennf_transformation,[],[f6])).
% 0.14/0.37 thf(f6,plain,(
% 0.14/0.37 ~((! [X2 : a,X1 : a,X3 : a] : ((($true = (cR @ X1 @ X3)) & ((cR @ X2 @ X3) = $true)) => ((cR @ X1 @ X2) = $true)) & ! [X0 : a] : ((cR @ X0 @ X0) = $true)) => ((! [X4 : a] : ? [X5] : ($true = (f @ X4 @ X5)) & ! [X8 : a,X6,X7 : a] : ((($true = (f @ X8 @ X6)) & ((f @ X7 @ X6) = $true)) => ((cR @ X8 @ X7) = $true)) & ! [X10,X9 : a,X11] : ((((f @ X9 @ X11) = $true) & ($true = (f @ X9 @ X10))) => ((cS @ X10 @ X11) = $true))) => (! [X17 : a] : ? [X18] : ! [X19 : a] : (((f @ X17 @ X18) = $true) | (((cR @ X17 @ z) = $true) & ((f @ X19 @ X18) != $true))) & ! [X14,X13 : a,X12 : a] : ((! [X16 : a] : (((f @ X13 @ X14) = $true) | (((cR @ X13 @ z) = $true) & ((f @ X16 @ X14) != $true))) & ! [X15 : a] : ((((cR @ X12 @ z) = $true) & ((f @ X15 @ X14) != $true)) | ((f @ X12 @ X14) = $true))) => ((cR @ X12 @ X13) = $true)) & ! [X20] : ? [X21 : a] : ! [X22 : a] : (((f @ X21 @ X20) = $true) | (((f @ X22 @ X20) != $true) & ((cR @ X21 @ z) = $true))))))),
% 0.14/0.37 inference(flattening,[],[f5])).
% 0.14/0.37 thf(f5,plain,(
% 0.14/0.37 ~((! [X2 : a,X1 : a,X3 : a] : ((($true = (cR @ X1 @ X3)) & ((cR @ X2 @ X3) = $true)) => ((cR @ X1 @ X2) = $true)) & ! [X0 : a] : ((cR @ X0 @ X0) = $true)) => ((! [X4 : a] : ? [X5] : ($true = (f @ X4 @ X5)) & ! [X8 : a,X6,X7 : a] : ((($true = (f @ X8 @ X6)) & ((f @ X7 @ X6) = $true)) => ((cR @ X8 @ X7) = $true)) & ! [X10,X9 : a,X11] : ((((f @ X9 @ X11) = $true) & ($true = (f @ X9 @ X10))) => ((cS @ X10 @ X11) = $true))) => (! [X12 : a,X13 : a,X14] : ((! [X15 : a] : ((~((f @ X15 @ X14) = $true) & ((cR @ X12 @ z) = $true)) | ((f @ X12 @ X14) = $true)) & ! [X16 : a] : (((f @ X13 @ X14) = $true) | (~((f @ X16 @ X14) = $true) & ((cR @ X13 @ z) = $true)))) => ((cR @ X12 @ X13) = $true)) & ! [X17 : a] : ? [X18] : ! [X19 : a] : ((((cR @ X17 @ z) = $true) & ~((f @ X19 @ X18) = $true)) | ((f @ X17 @ X18) = $true)) & ! [X20] : ? [X21 : a] : ! [X22 : a] : ((~((f @ X22 @ X20) = $true) & ((cR @ X21 @ z) = $true)) | ((f @ X21 @ X20) = $true)))))),
% 0.14/0.37 inference(fool_elimination,[],[f4])).
% 0.14/0.37 thf(f4,plain,(
% 0.14/0.37 ~((! [X0 : a] : (cR @ X0 @ X0) & ! [X1 : a,X2 : a,X3 : a] : (((cR @ X1 @ X3) & (cR @ X2 @ X3)) => (cR @ X1 @ X2))) => ((! [X4 : a] : ? [X5] : (f @ X4 @ X5) & ! [X6,X7 : a,X8 : a] : (((f @ X8 @ X6) & (f @ X7 @ X6)) => (cR @ X8 @ X7)) & ! [X9 : a,X10,X11] : (((f @ X9 @ X10) & (f @ X9 @ X11)) => (cS @ X10 @ X11))) => (! [X12 : a,X13 : a,X14] : ((! [X15 : a] : ((~(f @ X15 @ X14) & (cR @ X12 @ z)) | (f @ X12 @ X14)) & ! [X16 : a] : ((f @ X13 @ X14) | (~(f @ X16 @ X14) & (cR @ X13 @ z)))) => (cR @ X12 @ X13)) & ! [X17 : a] : ? [X18] : ! [X19 : a] : (((cR @ X17 @ z) & ~(f @ X19 @ X18)) | (f @ X17 @ X18)) & ! [X20] : ? [X21 : a] : ! [X22 : a] : ((~(f @ X22 @ X20) & (cR @ X21 @ z)) | (f @ X21 @ X20)))))),
% 0.14/0.37 inference(rectify,[],[f2])).
% 0.14/0.37 thf(f2,negated_conjecture,(
% 0.14/0.37 ~((! [X3 : a] : (cR @ X3 @ X3) & ! [X0 : a,X2 : a,X1 : a] : (((cR @ X0 @ X1) & (cR @ X2 @ X1)) => (cR @ X0 @ X2))) => ((! [X3 : a] : ? [X4] : (f @ X3 @ X4) & ! [X4,X8 : a,X7 : a] : (((f @ X7 @ X4) & (f @ X8 @ X4)) => (cR @ X7 @ X8)) & ! [X3 : a,X5,X6] : (((f @ X3 @ X5) & (f @ X3 @ X6)) => (cS @ X5 @ X6))) => (! [X7 : a,X8 : a,X4] : ((! [X2 : a] : ((~(f @ X2 @ X4) & (cR @ X7 @ z)) | (f @ X7 @ X4)) & ! [X2 : a] : ((f @ X8 @ X4) | (~(f @ X2 @ X4) & (cR @ X8 @ z)))) => (cR @ X7 @ X8)) & ! [X3 : a] : ? [X4] : ! [X2 : a] : (((cR @ X3 @ z) & ~(f @ X2 @ X4)) | (f @ X3 @ X4)) & ! [X4] : ? [X3 : a] : ! [X2 : a] : ((~(f @ X2 @ X4) & (cR @ X3 @ z)) | (f @ X3 @ X4)))))),
% 0.14/0.37 inference(negated_conjecture,[],[f1])).
% 0.14/0.37 thf(f1,conjecture,(
% 0.14/0.37 (! [X3 : a] : (cR @ X3 @ X3) & ! [X0 : a,X2 : a,X1 : a] : (((cR @ X0 @ X1) & (cR @ X2 @ X1)) => (cR @ X0 @ X2))) => ((! [X3 : a] : ? [X4] : (f @ X3 @ X4) & ! [X4,X8 : a,X7 : a] : (((f @ X7 @ X4) & (f @ X8 @ X4)) => (cR @ X7 @ X8)) & ! [X3 : a,X5,X6] : (((f @ X3 @ X5) & (f @ X3 @ X6)) => (cS @ X5 @ X6))) => (! [X7 : a,X8 : a,X4] : ((! [X2 : a] : ((~(f @ X2 @ X4) & (cR @ X7 @ z)) | (f @ X7 @ X4)) & ! [X2 : a] : ((f @ X8 @ X4) | (~(f @ X2 @ X4) & (cR @ X8 @ z)))) => (cR @ X7 @ X8)) & ! [X3 : a] : ? [X4] : ! [X2 : a] : (((cR @ X3 @ z) & ~(f @ X2 @ X4)) | (f @ X3 @ X4)) & ! [X4] : ? [X3 : a] : ! [X2 : a] : ((~(f @ X2 @ X4) & (cR @ X3 @ z)) | (f @ X3 @ X4))))),
% 0.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM552B_pme)).
% 0.14/0.37 thf(f110,plain,(
% 0.14/0.37 ((cR @ sK2 @ sK1) != $true) | spl9_12),
% 0.14/0.37 inference(trivial_inequality_removal,[],[f108])).
% 0.14/0.37 thf(f108,plain,(
% 0.14/0.37 ($true != $true) | ((cR @ sK2 @ sK1) != $true) | spl9_12),
% 0.14/0.37 inference(superposition,[],[f100,f27])).
% 0.14/0.37 thf(f27,plain,(
% 0.14/0.37 ( ! [X17 : a] : (((cR @ X17 @ X17) = $true)) )),
% 0.14/0.37 inference(cnf_transformation,[],[f21])).
% 0.14/0.37 thf(f100,plain,(
% 0.14/0.37 ( ! [X0 : a] : (($true != (cR @ sK1 @ X0)) | ((cR @ sK2 @ X0) != $true)) ) | spl9_12),
% 0.14/0.37 inference(trivial_inequality_removal,[],[f98])).
% 0.14/0.37 thf(f98,plain,(
% 0.14/0.37 ( ! [X0 : a] : (($true != (cR @ sK1 @ X0)) | ($true != $true) | ((cR @ sK2 @ X0) != $true)) ) | spl9_12),
% 0.14/0.37 inference(superposition,[],[f85,f28])).
% 0.14/0.37 thf(f28,plain,(
% 0.14/0.37 ( ! [X16 : a,X14 : a,X15 : a] : (((cR @ X16 @ X15) = $true) | ((cR @ X15 @ X14) != $true) | ((cR @ X16 @ X14) != $true)) )),
% 0.14/0.37 inference(cnf_transformation,[],[f21])).
% 0.14/0.37 thf(f85,plain,(
% 0.14/0.37 ((cR @ sK1 @ sK2) != $true) | spl9_12),
% 0.14/0.37 inference(avatar_component_clause,[],[f83])).
% 0.14/0.37 thf(f83,plain,(
% 0.14/0.37 spl9_12 <=> ((cR @ sK1 @ sK2) = $true)),
% 0.14/0.37 introduced(avatar_definition,[new_symbols(naming,[spl9_12])])).
% 0.14/0.37 thf(f113,plain,(
% 0.14/0.37 ~spl9_6 | ~spl9_11 | spl9_12),
% 0.14/0.37 inference(avatar_split_clause,[],[f111,f83,f78,f56])).
% 0.14/0.37 thf(f56,plain,(
% 0.14/0.37 spl9_6 <=> ((cR @ sK2 @ z) = $true)),
% 0.14/0.37 introduced(avatar_definition,[new_symbols(naming,[spl9_6])])).
% 0.14/0.37 thf(f78,plain,(
% 0.14/0.37 spl9_11 <=> ((cR @ sK1 @ z) = $true)),
% 0.14/0.37 introduced(avatar_definition,[new_symbols(naming,[spl9_11])])).
% 0.14/0.37 thf(f111,plain,(
% 0.14/0.37 ((cR @ sK2 @ z) != $true) | (~spl9_11 | spl9_12)),
% 0.14/0.37 inference(trivial_inequality_removal,[],[f107])).
% 0.14/0.37 thf(f107,plain,(
% 0.14/0.37 ($true != $true) | ((cR @ sK2 @ z) != $true) | (~spl9_11 | spl9_12)),
% 0.14/0.37 inference(superposition,[],[f100,f80])).
% 0.14/0.37 thf(f80,plain,(
% 0.14/0.37 ((cR @ sK1 @ z) = $true) | ~spl9_11),
% 0.14/0.37 inference(avatar_component_clause,[],[f78])).
% 0.14/0.37 thf(f96,plain,(
% 0.14/0.37 ~spl9_1 | ~spl9_2),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f95])).
% 0.14/0.37 thf(f95,plain,(
% 0.14/0.37 $false | (~spl9_1 | ~spl9_2)),
% 0.14/0.37 inference(subsumption_resolution,[],[f42,f38])).
% 0.14/0.37 thf(f94,plain,(
% 0.14/0.37 ~spl9_5 | ~spl9_10),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f93])).
% 0.14/0.37 thf(f93,plain,(
% 0.14/0.37 $false | (~spl9_5 | ~spl9_10)),
% 0.14/0.37 inference(trivial_inequality_removal,[],[f92])).
% 0.14/0.37 thf(f92,plain,(
% 0.14/0.37 ($true != $true) | (~spl9_5 | ~spl9_10)),
% 0.14/0.37 inference(superposition,[],[f91,f27])).
% 0.14/0.37 thf(f91,plain,(
% 0.14/0.37 ( ! [X6 : a] : (((cR @ X6 @ z) != $true)) ) | (~spl9_5 | ~spl9_10)),
% 0.14/0.37 inference(subsumption_resolution,[],[f53,f75])).
% 0.14/0.37 thf(f75,plain,(
% 0.14/0.37 ( ! [X6 : a] : (((f @ X6 @ sK5) != $true)) ) | ~spl9_10),
% 0.14/0.37 inference(avatar_component_clause,[],[f74])).
% 0.14/0.37 thf(f74,plain,(
% 0.14/0.37 spl9_10 <=> ! [X6 : a] : ((f @ X6 @ sK5) != $true)),
% 0.14/0.37 introduced(avatar_definition,[new_symbols(naming,[spl9_10])])).
% 0.14/0.37 thf(f53,plain,(
% 0.14/0.37 ( ! [X6 : a] : (((cR @ X6 @ z) != $true) | ((f @ (sK6 @ X6) @ sK5) = $true)) ) | ~spl9_5),
% 0.14/0.37 inference(avatar_component_clause,[],[f52])).
% 0.14/0.37 thf(f52,plain,(
% 0.14/0.37 spl9_5 <=> ! [X6 : a] : (((f @ (sK6 @ X6) @ sK5) = $true) | ((cR @ X6 @ z) != $true))),
% 0.14/0.37 introduced(avatar_definition,[new_symbols(naming,[spl9_5])])).
% 0.14/0.37 thf(f90,plain,(
% 0.14/0.37 ~spl9_4),
% 0.14/0.37 inference(avatar_contradiction_clause,[],[f89])).
% 0.14/0.37 thf(f89,plain,(
% 0.14/0.37 $false | ~spl9_4),
% 0.14/0.37 inference(trivial_inequality_removal,[],[f88])).
% 0.14/0.37 thf(f88,plain,(
% 0.14/0.37 ($true != $true) | ~spl9_4),
% 0.14/0.37 inference(superposition,[],[f50,f35])).
% 0.14/0.37 thf(f35,plain,(
% 0.14/0.37 ( ! [X0 : a] : (($true = (f @ X0 @ (sK4 @ X0)))) )),
% 0.14/0.37 inference(cnf_transformation,[],[f21])).
% 0.14/0.37 thf(f50,plain,(
% 0.14/0.37 ( ! [X9 : $i] : (((f @ sK7 @ X9) != $true)) ) | ~spl9_4),
% 0.14/0.37 inference(avatar_component_clause,[],[f49])).
% 0.14/0.37 thf(f49,plain,(
% 0.14/0.37 spl9_4 <=> ! [X9] : ((f @ sK7 @ X9) != $true)),
% 0.14/0.37 introduced(avatar_definition,[new_symbols(naming,[spl9_4])])).
% 0.14/0.37 thf(f86,plain,(
% 0.14/0.37 ~spl9_3 | ~spl9_12),
% 0.14/0.37 inference(avatar_split_clause,[],[f22,f83,f44])).
% 0.14/0.37 thf(f44,plain,(
% 0.14/0.37 spl9_3 <=> (sP0 = $true)),
% 0.14/0.37 introduced(avatar_definition,[new_symbols(naming,[spl9_3])])).
% 0.14/0.37 thf(f22,plain,(
% 0.14/0.37 ((cR @ sK1 @ sK2) != $true) | (sP0 != $true)),
% 0.14/0.37 inference(cnf_transformation,[],[f14])).
% 0.14/0.37 thf(f14,plain,(
% 0.14/0.37 (! [X3 : a] : (((f @ sK2 @ sK3) = $true) | (((cR @ sK2 @ z) = $true) & ((f @ X3 @ sK3) != $true))) & ! [X4 : a] : ((((cR @ sK1 @ z) = $true) & ((f @ X4 @ sK3) != $true)) | ((f @ sK1 @ sK3) = $true)) & ((cR @ sK1 @ sK2) != $true)) | (sP0 != $true)),
% 0.14/0.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f12,f13])).
% 0.14/0.37 thf(f13,plain,(
% 0.14/0.37 ? [X0 : a,X1 : a,X2] : (! [X3 : a] : (((f @ X1 @ X2) = $true) | (((cR @ X1 @ z) = $true) & ((f @ X3 @ X2) != $true))) & ! [X4 : a] : ((($true = (cR @ X0 @ z)) & ((f @ X4 @ X2) != $true)) | ($true = (f @ X0 @ X2))) & ((cR @ X0 @ X1) != $true)) => (! [X3 : a] : (((f @ sK2 @ sK3) = $true) | (((cR @ sK2 @ z) = $true) & ((f @ X3 @ sK3) != $true))) & ! [X4 : a] : ((((cR @ sK1 @ z) = $true) & ((f @ X4 @ sK3) != $true)) | ((f @ sK1 @ sK3) = $true)) & ((cR @ sK1 @ sK2) != $true))),
% 0.14/0.37 introduced(choice_axiom,[])).
% 0.14/0.37 thf(f12,plain,(
% 0.14/0.37 ? [X0 : a,X1 : a,X2] : (! [X3 : a] : (((f @ X1 @ X2) = $true) | (((cR @ X1 @ z) = $true) & ((f @ X3 @ X2) != $true))) & ! [X4 : a] : ((($true = (cR @ X0 @ z)) & ((f @ X4 @ X2) != $true)) | ($true = (f @ X0 @ X2))) & ((cR @ X0 @ X1) != $true)) | (sP0 != $true)),
% 0.14/0.37 inference(rectify,[],[f11])).
% 0.14/0.37 thf(f11,plain,(
% 0.14/0.37 ? [X12 : a,X13 : a,X14] : (! [X16 : a] : (((f @ X13 @ X14) = $true) | (((cR @ X13 @ z) = $true) & ((f @ X16 @ X14) != $true))) & ! [X15 : a] : ((((cR @ X12 @ z) = $true) & ((f @ X15 @ X14) != $true)) | ((f @ X12 @ X14) = $true)) & ((cR @ X12 @ X13) != $true)) | (sP0 != $true)),
% 0.14/0.37 inference(nnf_transformation,[],[f9])).
% 0.14/0.37 thf(f81,plain,(
% 0.14/0.37 ~spl9_3 | spl9_7 | spl9_11),
% 0.14/0.37 inference(avatar_split_clause,[],[f24,f78,f61,f44])).
% 0.14/0.37 thf(f24,plain,(
% 0.14/0.37 (sP0 != $true) | ((cR @ sK1 @ z) = $true) | ((f @ sK1 @ sK3) = $true)),
% 0.14/0.37 inference(cnf_transformation,[],[f14])).
% 0.14/0.37 thf(f76,plain,(
% 0.14/0.37 spl9_10 | spl9_3 | spl9_4),
% 0.14/0.37 inference(avatar_split_clause,[],[f30,f49,f44,f74])).
% 0.14/0.37 thf(f30,plain,(
% 0.14/0.37 ( ! [X6 : a,X9 : $i] : (((f @ sK7 @ X9) != $true) | ((f @ X6 @ sK5) != $true) | (sP0 = $true)) )),
% 0.14/0.37 inference(cnf_transformation,[],[f21])).
% 0.14/0.37 thf(f64,plain,(
% 0.14/0.37 spl9_1 | spl9_7 | ~spl9_3),
% 0.14/0.37 inference(avatar_split_clause,[],[f23,f44,f61,f37])).
% 0.14/0.37 thf(f23,plain,(
% 0.14/0.37 ( ! [X4 : a] : (((f @ sK1 @ sK3) = $true) | ((f @ X4 @ sK3) != $true) | (sP0 != $true)) )),
% 0.14/0.37 inference(cnf_transformation,[],[f14])).
% 0.14/0.37 thf(f59,plain,(
% 0.14/0.37 spl9_6 | ~spl9_3 | spl9_2),
% 0.14/0.37 inference(avatar_split_clause,[],[f26,f40,f44,f56])).
% 0.14/0.37 thf(f26,plain,(
% 0.14/0.37 ((f @ sK2 @ sK3) = $true) | ((cR @ sK2 @ z) = $true) | (sP0 != $true)),
% 0.14/0.37 inference(cnf_transformation,[],[f14])).
% 0.14/0.37 thf(f54,plain,(
% 0.14/0.37 spl9_3 | spl9_4 | spl9_5),
% 0.14/0.37 inference(avatar_split_clause,[],[f32,f52,f49,f44])).
% 0.14/0.37 thf(f32,plain,(
% 0.14/0.37 ( ! [X6 : a,X9 : $i] : (((f @ (sK6 @ X6) @ sK5) = $true) | ((f @ sK7 @ X9) != $true) | ((cR @ X6 @ z) != $true) | (sP0 = $true)) )),
% 0.14/0.37 inference(cnf_transformation,[],[f21])).
% 0.14/0.37 thf(f47,plain,(
% 0.14/0.37 spl9_1 | spl9_2 | ~spl9_3),
% 0.14/0.37 inference(avatar_split_clause,[],[f25,f44,f40,f37])).
% 0.14/0.37 thf(f25,plain,(
% 0.14/0.37 ( ! [X3 : a] : (((f @ sK2 @ sK3) = $true) | (sP0 != $true) | ((f @ X3 @ sK3) != $true)) )),
% 0.14/0.37 inference(cnf_transformation,[],[f14])).
% 0.14/0.37 % SZS output end Proof for theBenchmark
% 0.14/0.37 % (9835)------------------------------
% 0.14/0.37 % (9835)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (9835)Termination reason: Refutation
% 0.14/0.37
% 0.14/0.37 % (9835)Memory used [KB]: 5628
% 0.14/0.37 % (9835)Time elapsed: 0.011 s
% 0.14/0.37 % (9835)Instructions burned: 12 (million)
% 0.14/0.37 % (9835)------------------------------
% 0.14/0.37 % (9835)------------------------------
% 0.14/0.37 % (9834)Success in time 0.006 s
% 0.14/0.37 % Vampire---4.8 exiting
%------------------------------------------------------------------------------