%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG380-1 : 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 : n002.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 5.31s 1.54s
% Output : Refutation 6.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 25 unt; 0 def)
% Number of atoms : 29 ( 25 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 11 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 6 con; 0-3 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f752,axiom,
! [X0,X1] : c_NthRoot_Osqrt(c_Power_Opower__class_Opower(X0,X1,tc_RealDef_Oreal)) = c_Power_Opower__class_Opower(c_NthRoot_Osqrt(X0),X1,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__sqrt__power_0) ).
fof(f761,axiom,
! [X0,X1] : c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal)) = c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__sqrt__mult_0) ).
fof(f767,axiom,
! [X2,X3,X0,X1] : c_HOL_Otimes__class_Otimes(c_Complex_Orcis(X0,X1),c_Complex_Orcis(X2,X3),tc_Complex_Ocomplex) = c_Complex_Orcis(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X3,tc_RealDef_Oreal)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rcis__mult_0) ).
fof(f1158,axiom,
! [X0] : c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal)) = c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__sqrt__abs2_0) ).
fof(f1159,plain,
! [X0] : c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal) = c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal)),
inference(reorient_equations,[],[f1158]) ).
fof(f1181,axiom,
! [X0] : c_NthRoot_Osqrt(c_Power_Opower__class_Opower(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal)) = c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__sqrt__abs_0) ).
fof(f1233,axiom,
! [X0] : c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__sum__of__halves_0) ).
fof(f1239,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
| c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_abs__idempotent_0) ).
fof(f1240,plain,
! [X0,X1] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
| c_HOL_Oabs__class_Oabs(X1,X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
inference(reorient_equations,[],[f1239]) ).
fof(f1282,negated_conjecture,
c_HOL_Otimes__class_Otimes(c_Complex_Orcis(c_NthRoot_Osqrt(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal)),c_HOL_Oinverse__class_Odivide(v_a,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)),c_Complex_Orcis(c_NthRoot_Osqrt(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal)),c_HOL_Oinverse__class_Odivide(v_a,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_Complex_Ocomplex) != c_Complex_Orcis(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal),v_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1375,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(f1520,plain,
c_HOL_Otimes__class_Otimes(c_Complex_Orcis(c_NthRoot_Osqrt(c_NthRoot_Osqrt(c_Power_Opower__class_Opower(v_r,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal))),c_HOL_Oinverse__class_Odivide(v_a,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)),c_Complex_Orcis(c_NthRoot_Osqrt(c_NthRoot_Osqrt(c_Power_Opower__class_Opower(v_r,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal))),c_HOL_Oinverse__class_Odivide(v_a,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_Complex_Ocomplex) != c_Complex_Orcis(c_NthRoot_Osqrt(c_Power_Opower__class_Opower(v_r,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal)),v_a),
inference(backward_demodulation,[],[f1282,f1181]) ).
fof(f1522,plain,
! [X0] : c_NthRoot_Osqrt(c_Power_Opower__class_Opower(X0,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal)) = c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal)),
inference(forward_demodulation,[],[f1159,f1181]) ).
fof(f1541,plain,
! [X0] : c_Power_Opower__class_Opower(c_NthRoot_Osqrt(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),
inference(backward_demodulation,[],[f1181,f752]) ).
fof(f1665,plain,
c_HOL_Otimes__class_Otimes(c_Complex_Orcis(c_NthRoot_Osqrt(c_Power_Opower__class_Opower(c_NthRoot_Osqrt(v_r),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal)),c_HOL_Oinverse__class_Odivide(v_a,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)),c_Complex_Orcis(c_NthRoot_Osqrt(c_Power_Opower__class_Opower(c_NthRoot_Osqrt(v_r),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal)),c_HOL_Oinverse__class_Odivide(v_a,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_Complex_Ocomplex) != c_Complex_Orcis(c_Power_Opower__class_Opower(c_NthRoot_Osqrt(v_r),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal),v_a),
inference(forward_demodulation,[],[f1520,f752]) ).
fof(f1668,plain,
! [X0] : c_Power_Opower__class_Opower(c_NthRoot_Osqrt(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal) = c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal)),
inference(forward_demodulation,[],[f1522,f752]) ).
fof(f1776,plain,
c_Complex_Orcis(c_Power_Opower__class_Opower(c_NthRoot_Osqrt(v_r),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal),v_a) != c_Complex_Orcis(c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(c_Power_Opower__class_Opower(c_NthRoot_Osqrt(v_r),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal)),c_NthRoot_Osqrt(c_Power_Opower__class_Opower(c_NthRoot_Osqrt(v_r),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal)),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(v_a,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(v_a,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
inference(forward_demodulation,[],[f1665,f767]) ).
fof(f1816,plain,
c_Complex_Orcis(c_Power_Opower__class_Opower(c_NthRoot_Osqrt(v_r),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal),v_a) != c_Complex_Orcis(c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(c_Power_Opower__class_Opower(c_NthRoot_Osqrt(v_r),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal)),c_NthRoot_Osqrt(c_Power_Opower__class_Opower(c_NthRoot_Osqrt(v_r),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal)),tc_RealDef_Oreal),v_a),
inference(forward_demodulation,[],[f1776,f1233]) ).
fof(f1824,plain,
c_Complex_Orcis(c_Power_Opower__class_Opower(c_NthRoot_Osqrt(v_r),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal),v_a) != c_Complex_Orcis(c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_NthRoot_Osqrt(v_r),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal),c_Power_Opower__class_Opower(c_NthRoot_Osqrt(v_r),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal)),v_a),
inference(forward_demodulation,[],[f1816,f761]) ).
fof(f1827,plain,
c_Complex_Orcis(c_Power_Opower__class_Opower(c_NthRoot_Osqrt(v_r),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal),v_a) != c_Complex_Orcis(c_Power_Opower__class_Opower(c_NthRoot_Osqrt(c_Power_Opower__class_Opower(c_NthRoot_Osqrt(v_r),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal),v_a),
inference(forward_demodulation,[],[f1824,f1668]) ).
fof(f1828,plain,
c_Complex_Orcis(c_Power_Opower__class_Opower(c_NthRoot_Osqrt(v_r),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal),v_a) != c_Complex_Orcis(c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(c_NthRoot_Osqrt(c_NthRoot_Osqrt(v_r)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal),v_a),
inference(forward_demodulation,[],[f1827,f752]) ).
fof(f3514,plain,
! [X0] : c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(resolution,[],[f1240,f1375]) ).
fof(f3515,plain,
! [X0] : c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal) = c_Power_Opower__class_Opower(c_NthRoot_Osqrt(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f3514,f1541]) ).
fof(f3516,plain,
! [X0] : c_Power_Opower__class_Opower(c_NthRoot_Osqrt(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal) = c_Power_Opower__class_Opower(c_NthRoot_Osqrt(c_Power_Opower__class_Opower(c_NthRoot_Osqrt(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f3515,f1541]) ).
fof(f3517,plain,
! [X0] : c_Power_Opower__class_Opower(c_NthRoot_Osqrt(X0),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal) = c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(c_NthRoot_Osqrt(c_NthRoot_Osqrt(X0)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f3516,f752]) ).
fof(f3518,plain,
c_Complex_Orcis(c_Power_Opower__class_Opower(c_NthRoot_Osqrt(v_r),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal),v_a) != c_Complex_Orcis(c_Power_Opower__class_Opower(c_NthRoot_Osqrt(v_r),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_nat),tc_RealDef_Oreal),v_a),
inference(backward_demodulation,[],[f1828,f3517]) ).
fof(f3519,plain,
$false,
inference(trivial_inequality_removal,[],[f3518]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG380-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 % Computer : n002.cluster.edu
% 0.08/0.22 % Model : x86_64 x86_64
% 0.08/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.22 % Memory : 8046.5625MB
% 0.08/0.22 % OS : Linux 6.8.0-71-generic
% 0.08/0.22 % CPULimit : 300
% 0.08/0.22 % WCLimit : 300
% 0.08/0.22 % DateTime : Mon Sep 28 20:17:07 UTC 2026
% 0.08/0.22 % CPUTime :
% 0.08/0.22 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.29 Running first-order theorem proving
% 0.08/0.29 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
% 5.31/1.54 % (703052)Input is clausal, will run a generic CNF schedule.
% 5.31/1.54 % (703063)dis-21_1_sil=8000:lcm=predicate:random_seed=3828140979: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)
% 5.31/1.54 % (703060)lrs+10_1_sil=8000:sp=occurrence:random_seed=47384103:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.31/1.54 % (703061)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3750636218:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.31/1.54 % (703057)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=2821403067:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.31/1.54 % (703059)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3764313371:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.31/1.54 % (703058)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3038318722:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.31/1.54 % (703062)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2054362918:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.31/1.54 % (703063)Instruction limit reached!
% 5.31/1.54 % (703063)------------------------------
% 5.31/1.54 % (703063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.31/1.54 % (703063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.31/1.54 % (703063)CaDiCaL version: 2.1.3
% 5.31/1.54 % (703063)Termination reason: Instruction limit
% 5.31/1.54 % (703063)Termination phase: Saturation
% 5.31/1.54 % (703063)Time elapsed: 0.057 s
% 5.31/1.54 % (703063)Peak memory usage: 89 MB
% 5.31/1.54 % (703063)Instructions burned: 118 (million)
% 5.31/1.54 % (703060)Instruction limit reached!
% 5.31/1.54 % (703060)------------------------------
% 5.31/1.54 % (703060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.31/1.54 % (703060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.31/1.54 % (703060)CaDiCaL version: 2.1.3
% 5.31/1.54 % (703060)Termination reason: Instruction limit
% 5.31/1.54 % (703060)Termination phase: Saturation
% 5.31/1.54 % (703060)Time elapsed: 0.067 s
% 5.31/1.54 % (703060)Peak memory usage: 90 MB
% 5.31/1.54 % (703060)Instructions burned: 107 (million)
% 5.31/1.54 % (703061)Instruction limit reached!
% 5.31/1.54 % (703061)------------------------------
% 5.31/1.54 % (703061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.31/1.54 % (703061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.31/1.54 % (703061)CaDiCaL version: 2.1.3
% 5.31/1.54 % (703061)Termination reason: Instruction limit
% 5.31/1.54 % (703061)Termination phase: Saturation
% 5.31/1.54 % (703061)Time elapsed: 0.071 s
% 5.31/1.54 % (703061)Peak memory usage: 89 MB
% 5.31/1.54 % (703061)Instructions burned: 115 (million)
% 5.31/1.54 % (703062)Instruction limit reached!
% 5.31/1.54 % (703062)------------------------------
% 5.31/1.54 % (703062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.31/1.54 % (703062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.31/1.54 % (703062)CaDiCaL version: 2.1.3
% 5.31/1.54 % (703062)Termination reason: Instruction limit
% 5.31/1.54 % (703062)Termination phase: Saturation
% 5.31/1.54 % (703062)Time elapsed: 0.127 s
% 5.31/1.54 % (703062)Peak memory usage: 90 MB
% 5.31/1.54 % (703062)Instructions burned: 180 (million)
% 5.31/1.54 % (703071)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=2838623846:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.31/1.54 % (703072)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1770550027: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)
% 5.31/1.54 % (703073)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1440532413:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.31/1.54 % (703071)Refutation not found, incomplete strategy
% 5.31/1.54 % (703071)------------------------------
% 5.31/1.54 % (703071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.31/1.54 % (703071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.31/1.54 % (703071)CaDiCaL version: 2.1.3
% 5.31/1.54 % (703071)Termination reason: Refutation not found, incomplete strategy
% 5.31/1.54 % (703071)Time elapsed: 0.018 s
% 5.31/1.54 % (703071)Peak memory usage: 89 MB
% 5.31/1.54 % (703071)Instructions burned: 31 (million)
% 5.31/1.54 % (703074)lrs+10_64_to=lpo:sil=8000:random_seed=823413387:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 5.31/1.54 % (703074)Instruction limit reached!
% 5.31/1.54 % (703074)------------------------------
% 5.31/1.54 % (703074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.31/1.54 % (703074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.31/1.54 % (703074)CaDiCaL version: 2.1.3
% 5.31/1.54 % (703074)Termination reason: Instruction limit
% 5.31/1.54 % (703074)Termination phase: Saturation
% 5.31/1.54 % (703074)Time elapsed: 0.040 s
% 5.31/1.54 % (703074)Peak memory usage: 90 MB
% 5.31/1.54 % (703074)Instructions burned: 127 (million)
% 5.31/1.54 % (703072)Instruction limit reached!
% 5.31/1.54 % (703072)------------------------------
% 5.31/1.54 % (703072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.31/1.54 % (703072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.31/1.54 % (703072)CaDiCaL version: 2.1.3
% 5.31/1.54 % (703072)Termination reason: Instruction limit
% 5.31/1.54 % (703072)Termination phase: Saturation
% 5.31/1.54 % (703072)Time elapsed: 0.103 s
% 5.31/1.54 % (703072)Peak memory usage: 91 MB
% 5.31/1.54 % (703072)Instructions burned: 189 (million)
% 5.31/1.54 % (703073)Instruction limit reached!
% 5.31/1.54 % (703073)------------------------------
% 5.31/1.54 % (703073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.31/1.54 % (703073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.31/1.54 % (703073)CaDiCaL version: 2.1.3
% 5.31/1.54 % (703073)Termination reason: Instruction limit
% 5.31/1.54 % (703073)Termination phase: Saturation
% 5.31/1.54 % (703073)Time elapsed: 0.116 s
% 5.31/1.54 % (703073)Peak memory usage: 91 MB
% 5.31/1.54 % (703073)Instructions burned: 219 (million)
% 5.31/1.54 % (703079)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3604779786:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 5.31/1.54 % (703080)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3038914592:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 5.31/1.54 % (703071)------------------------------
% 5.31/1.54 % (703071)------------------------------
% 5.31/1.54 % (703079)First to succeed.
% 5.31/1.54 % (703079)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-703052"
% 5.31/1.54 % (703081)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2227834699:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 5.31/1.54 % (703080)Instruction limit reached!
% 5.31/1.54 % (703080)------------------------------
% 5.31/1.54 % (703080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.31/1.54 % (703080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.31/1.54 % (703080)CaDiCaL version: 2.1.3
% 5.31/1.54 % (703080)Termination reason: Instruction limit
% 5.31/1.54 % (703080)Termination phase: Saturation
% 5.31/1.54 % (703080)Time elapsed: 0.095 s
% 5.31/1.54 % (703080)Peak memory usage: 91 MB
% 5.31/1.54 % (703080)Instructions burned: 158 (million)
% 5.31/1.54 % (703079)Refutation found. Thanks to Tanya!
% 5.31/1.54 % SZS status Unsatisfiable for theBenchmark
% 5.31/1.54 % SZS output start Proof for theBenchmark
% See solution above
% 6.48/1.74 % (703079)------------------------------
% 6.48/1.74 % (703079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.74 % (703079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.74 % (703079)CaDiCaL version: 2.1.3
% 6.48/1.74 % (703079)Termination reason: Refutation
% 6.48/1.74 % (703079)Time elapsed: 0.066 s
% 6.48/1.74 % (703079)Peak memory usage: 91 MB
% 6.48/1.74 % (703079)Instructions burned: 188 (million)
% 6.48/1.74 % (703079)------------------------------
% 6.48/1.74 % (703079)------------------------------
% 6.48/1.74 % (703052)Success in time 0.837 s
% 6.48/1.74 % Vampire exiting
%------------------------------------------------------------------------------