%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG379-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:19:54 AM UTC 2026
% Result : Unsatisfiable 6.35s 1.62s
% Output : Refutation 6.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 19 unt; 3 def)
% Number of atoms : 41 ( 30 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 17 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-3 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f778,axiom,
! [X2,X0,X1] :
( ~ class_OrderedGroup_Ogroup__add(X0)
| c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_right__minus__eq_0) ).
fof(f779,plain,
! [X2,X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) != c_HOL_Ominus__class_Ominus(X1,X2,X0)
| ~ class_OrderedGroup_Ogroup__add(X0)
| X1 = X2 ),
inference(reorient_equations,[],[f778]) ).
fof(f941,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
| c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
| X1 = c_HOL_Ozero__class_Ozero(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_abs__eq__0_0) ).
fof(f942,plain,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) != c_HOL_Oabs__class_Oabs(X1,X0)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
| c_HOL_Ozero__class_Ozero(X0) = X1 ),
inference(reorient_equations,[],[f941]) ).
fof(f1132,axiom,
c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f1133,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(reorient_equations,[],[f1132]) ).
fof(f1134,negated_conjecture,
c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1135,plain,
c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal) != c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(reorient_equations,[],[f1134]) ).
fof(f1178,axiom,
class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs) ).
fof(f1224,axiom,
class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add) ).
fof(f1325,definition,
sF0 = c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f1326,plain,
c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal) = sF0,
inference(reorient_equations,[],[f1325]) ).
fof(f1327,definition,
sF1 = c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f1328,plain,
c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex) = sF1,
inference(reorient_equations,[],[f1327]) ).
fof(f1329,definition,
sF2 = c_RealVector_Onorm__class_Onorm(sF1,tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f1330,plain,
c_RealVector_Onorm__class_Onorm(sF1,tc_Complex_Ocomplex) = sF2,
inference(reorient_equations,[],[f1329]) ).
fof(f1331,plain,
sF0 != sF2,
inference(definition_folding,[],[f1135,f1330,f1328,f1326]) ).
fof(f1378,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),sF0,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(superposition,[],[f1133,f1326]) ).
fof(f1379,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(sF1,tc_Complex_Ocomplex),sF0,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f1378,f1328]) ).
fof(f1381,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(sF2,sF0,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f1379,f1330]) ).
fof(f3145,plain,
( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal)
| c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(sF2,sF0,tc_RealDef_Oreal) ),
inference(superposition,[],[f942,f1381]) ).
fof(f3154,plain,
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal)
| c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(sF2,sF0,tc_RealDef_Oreal) ),
inference(trivial_inequality_removal,[],[f3145]) ).
fof(f3157,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(sF2,sF0,tc_RealDef_Oreal),
inference(forward_subsumption_resolution,[],[f3154,f1178]) ).
fof(f3168,plain,
( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal)
| sF0 = sF2 ),
inference(superposition,[],[f779,f3157]) ).
fof(f3169,plain,
( ~ class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal)
| sF0 = sF2 ),
inference(trivial_inequality_removal,[],[f3168]) ).
fof(f3171,plain,
sF0 = sF2,
inference(forward_subsumption_resolution,[],[f3169,f1224]) ).
fof(f3173,plain,
$false,
inference(forward_subsumption_resolution,[],[f3171,f1331]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG379-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n015.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 20:17:47 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.60/1.52 % (2964187)Input is clausal, will run a generic CNF schedule.
% 5.60/1.52 % (2964192)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3367046869:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.60/1.52 % (2964198)dis-21_1_sil=8000:lcm=predicate:random_seed=2428686287:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 5.60/1.52 % (2964197)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1347989165:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.60/1.52 % (2964196)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=643279712:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.60/1.52 % (2964193)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=611608861:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.60/1.52 % (2964195)lrs+10_1_sil=8000:sp=occurrence:random_seed=3226823288:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.60/1.52 % (2964194)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3789921506:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.60/1.52 % (2964198)Instruction limit reached!
% 5.60/1.52 % (2964198)------------------------------
% 5.60/1.52 % (2964198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.60/1.52 % (2964198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.52 % (2964198)CaDiCaL version: 2.1.3
% 5.60/1.52 % (2964198)Termination reason: Instruction limit
% 5.60/1.52 % (2964198)Termination phase: Saturation
% 5.60/1.52 % (2964198)Time elapsed: 0.062 s
% 5.60/1.52 % (2964198)Peak memory usage: 89 MB
% 5.60/1.52 % (2964198)Instructions burned: 119 (million)
% 5.60/1.52 % (2964195)Instruction limit reached!
% 5.60/1.52 % (2964195)------------------------------
% 5.60/1.52 % (2964195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.60/1.52 % (2964195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.52 % (2964195)CaDiCaL version: 2.1.3
% 5.60/1.52 % (2964195)Termination reason: Instruction limit
% 5.60/1.52 % (2964195)Termination phase: Saturation
% 5.60/1.52 % (2964195)Time elapsed: 0.071 s
% 5.60/1.52 % (2964195)Peak memory usage: 89 MB
% 5.60/1.52 % (2964195)Instructions burned: 108 (million)
% 5.60/1.52 % (2964196)Instruction limit reached!
% 5.60/1.52 % (2964196)------------------------------
% 5.60/1.52 % (2964196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.60/1.52 % (2964196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.52 % (2964196)CaDiCaL version: 2.1.3
% 5.60/1.52 % (2964196)Termination reason: Instruction limit
% 5.60/1.52 % (2964196)Termination phase: Saturation
% 5.60/1.52 % (2964196)Time elapsed: 0.077 s
% 5.60/1.52 % (2964196)Peak memory usage: 89 MB
% 5.60/1.52 % (2964196)Instructions burned: 114 (million)
% 5.60/1.52 % (2964197)Instruction limit reached!
% 5.60/1.52 % (2964197)------------------------------
% 5.60/1.52 % (2964197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.60/1.52 % (2964197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.52 % (2964197)CaDiCaL version: 2.1.3
% 5.60/1.52 % (2964197)Termination reason: Instruction limit
% 5.60/1.52 % (2964197)Termination phase: Saturation
% 5.60/1.52 % (2964197)Time elapsed: 0.124 s
% 5.60/1.52 % (2964197)Peak memory usage: 91 MB
% 5.60/1.52 % (2964197)Instructions burned: 181 (million)
% 5.60/1.52 % (2964206)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1364393801:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.60/1.52 % (2964206)Refutation not found, incomplete strategy
% 5.60/1.52 % (2964206)------------------------------
% 5.60/1.52 % (2964206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.60/1.52 % (2964206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.52 % (2964206)CaDiCaL version: 2.1.3
% 5.60/1.52 % (2964206)Termination reason: Refutation not found, incomplete strategy
% 5.60/1.52 % (2964206)Time elapsed: 0.006 s
% 5.60/1.52 % (2964206)Peak memory usage: 88 MB
% 5.60/1.52 % (2964206)Instructions burned: 7 (million)
% 5.60/1.52 % (2964207)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1157422116:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 6.35/1.62 % (2964208)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1035037180:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.35/1.62 % (2964208)Refutation not found, incomplete strategy
% 6.35/1.62 % (2964208)------------------------------
% 6.35/1.62 % (2964208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.35/1.62 % (2964208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.62 % (2964208)CaDiCaL version: 2.1.3
% 6.35/1.62 % (2964208)Termination reason: Refutation not found, incomplete strategy
% 6.35/1.62 % (2964208)Time elapsed: 0.023 s
% 6.35/1.62 % (2964208)Peak memory usage: 89 MB
% 6.35/1.62 % (2964208)Instructions burned: 40 (million)
% 6.35/1.62 % (2964209)lrs+10_64_to=lpo:sil=8000:random_seed=1240682803:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 6.35/1.62 % (2964207)Instruction limit reached!
% 6.35/1.62 % (2964207)------------------------------
% 6.35/1.62 % (2964207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.35/1.62 % (2964207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.62 % (2964207)CaDiCaL version: 2.1.3
% 6.35/1.62 % (2964207)Termination reason: Instruction limit
% 6.35/1.62 % (2964207)Termination phase: Saturation
% 6.35/1.62 % (2964207)Time elapsed: 0.103 s
% 6.35/1.62 % (2964207)Peak memory usage: 91 MB
% 6.35/1.62 % (2964207)Instructions burned: 190 (million)
% 6.35/1.62 % (2964209)Instruction limit reached!
% 6.35/1.62 % (2964209)------------------------------
% 6.35/1.62 % (2964209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.35/1.62 % (2964209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.62 % (2964209)CaDiCaL version: 2.1.3
% 6.35/1.62 % (2964209)Termination reason: Instruction limit
% 6.35/1.62 % (2964209)Termination phase: Saturation
% 6.35/1.62 % (2964209)Time elapsed: 0.079 s
% 6.35/1.62 % (2964209)Peak memory usage: 90 MB
% 6.35/1.62 % (2964209)Instructions burned: 126 (million)
% 6.35/1.62 % (2964206)------------------------------
% 6.35/1.62 % (2964206)------------------------------
% 6.35/1.62 % (2964214)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1814758899:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.35/1.62 % (2964215)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1229611894:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 6.35/1.62 % (2964208)------------------------------
% 6.35/1.62 % (2964208)------------------------------
% 6.35/1.62 % (2964192)First to succeed.
% 6.35/1.62 % (2964192)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2964187"
% 6.35/1.62 % (2964215)Instruction limit reached!
% 6.35/1.62 % (2964215)------------------------------
% 6.35/1.62 % (2964215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.35/1.62 % (2964215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.62 % (2964215)CaDiCaL version: 2.1.3
% 6.35/1.62 % (2964215)Termination reason: Instruction limit
% 6.35/1.62 % (2964215)Termination phase: Saturation
% 6.35/1.62 % (2964215)Time elapsed: 0.096 s
% 6.35/1.62 % (2964215)Peak memory usage: 91 MB
% 6.35/1.62 % (2964215)Instructions burned: 158 (million)
% 6.35/1.62 % (2964216)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2321428848:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 6.35/1.62 % (2964214)Instruction limit reached!
% 6.35/1.62 % (2964214)------------------------------
% 6.35/1.62 % (2964214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.35/1.62 % (2964214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.62 % (2964214)CaDiCaL version: 2.1.3
% 6.35/1.62 % (2964214)Termination reason: Instruction limit
% 6.35/1.62 % (2964214)Termination phase: Saturation
% 6.35/1.62 % (2964214)Time elapsed: 0.130 s
% 6.35/1.62 % (2964214)Peak memory usage: 91 MB
% 6.35/1.62 % (2964214)Instructions burned: 194 (million)
% 6.35/1.62 % (2964219)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=4208449849:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 6.35/1.62 % (2964192)Refutation found. Thanks to Tanya!
% 6.35/1.62 % SZS status Unsatisfiable for theBenchmark
% 6.35/1.62 % SZS output start Proof for theBenchmark
% See solution above
% 6.35/1.62 % (2964192)------------------------------
% 6.35/1.62 % (2964192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.35/1.62 % (2964192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.35/1.62 % (2964192)CaDiCaL version: 2.1.3
% 6.35/1.62 % (2964192)Termination reason: Refutation
% 6.35/1.62 % (2964192)Time elapsed: 0.530 s
% 6.35/1.62 % (2964192)Peak memory usage: 139 MB
% 6.35/1.62 % (2964192)Instructions burned: 1462 (million)
% 6.35/1.62 % (2964192)------------------------------
% 6.35/1.62 % (2964192)------------------------------
% 6.35/1.62 % (2964187)Success in time 0.85 s
% 6.35/1.62 % Vampire exiting
%------------------------------------------------------------------------------