%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG385-1 : 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 : n011.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 10.93s 2.29s
% Output : Refutation 10.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 28 ( 18 unt; 0 def)
% Number of atoms : 42 ( 23 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 17 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 51 ( 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f635,axiom,
! [X2,X0,X1] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
| c_HOL_Oplus__class_Oplus(X1,X2,X0) = c_HOL_Oplus__class_Oplus(X2,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_comm__monoid__add_Omult__commute_0) ).
fof(f738,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_add__poly__code_I2_J_0) ).
fof(f883,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
| c_Polynomial_Osmult(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_smult__0__right_0) ).
fof(f884,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = c_Polynomial_Osmult(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) ),
inference(reorient_equations,[],[f883]) ).
fof(f1016,axiom,
! [X0,X1] : c_lessequals(c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complex__mod__triangle__sub_0) ).
fof(f1026,axiom,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
| c_Polynomial_Opoly(c_Polynomial_OpCons(X1,X2,X0),X3,X0) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X3,c_Polynomial_Opoly(X2,X3,X0),X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_poly__pCons_0) ).
fof(f1027,axiom,
! [X2,X3,X0,X1,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
| c_HOL_Oplus__class_Oplus(X1,c_Polynomial_Osmult(X2,X3,X0),tc_Polynomial_Opoly(X0)) != c_Polynomial_OpCons(X4,X3,X0)
| X4 = c_Polynomial_Opoly(X1,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synthetic__div__unique_0) ).
fof(f1028,plain,
! [X2,X3,X0,X1,X4] :
( c_HOL_Oplus__class_Oplus(X1,c_Polynomial_Osmult(X2,X3,X0),tc_Polynomial_Opoly(X0)) != c_Polynomial_OpCons(X4,X3,X0)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
| c_Polynomial_Opoly(X1,X2,X0) = X4 ),
inference(reorient_equations,[],[f1027]) ).
fof(f1030,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(v_da____,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| c_lessequals(v_da____,X0,tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Oplus__class_Oplus(X0,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ath_0) ).
fof(f1039,axiom,
c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(v_da____,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(v_z____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_th0_0) ).
fof(f1062,axiom,
v_cs____ = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f1064,negated_conjecture,
~ c_lessequals(v_da____,c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_aa____,c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1147,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0) ).
fof(f1155,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add) ).
fof(f1232,plain,
! [X2,X0,X1] : c_Polynomial_Opoly(c_Polynomial_OpCons(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X0,c_HOL_Otimes__class_Otimes(X2,c_Polynomial_Opoly(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(unit_resulting_resolution,[],[f1026,f1147]) ).
fof(f1588,plain,
! [X0,X1] : c_HOL_Oplus__class_Oplus(X0,X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X1,X0,tc_Complex_Ocomplex),
inference(unit_resulting_resolution,[],[f635,f1155]) ).
fof(f1601,plain,
! [X2,X0,X1] : c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X0,c_Polynomial_Opoly(X1,X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_Polynomial_Opoly(c_Polynomial_OpCons(X2,X1,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),
inference(superposition,[],[f1232,f1588]) ).
fof(f1774,plain,
! [X0] : c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_Osmult(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),
inference(unit_resulting_resolution,[],[f884,f1147]) ).
fof(f1776,plain,
! [X0] : v_cs____ = c_Polynomial_Osmult(X0,v_cs____,tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f1774,f1062]) ).
fof(f1777,plain,
! [X2,X0,X1] :
( c_HOL_Oplus__class_Oplus(X0,v_cs____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Polynomial_OpCons(X2,v_cs____,tc_Complex_Ocomplex)
| ~ class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex)
| c_Polynomial_Opoly(X0,X1,tc_Complex_Ocomplex) = X2 ),
inference(superposition,[],[f1028,f1776]) ).
fof(f1778,plain,
! [X2,X0,X1] :
( c_HOL_Oplus__class_Oplus(X0,v_cs____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Polynomial_OpCons(X2,v_cs____,tc_Complex_Ocomplex)
| c_Polynomial_Opoly(X0,X1,tc_Complex_Ocomplex) = X2 ),
inference(forward_subsumption_resolution,[],[f1777,f1147]) ).
fof(f2174,plain,
! [X0] : c_HOL_Oplus__class_Oplus(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0,
inference(unit_resulting_resolution,[],[f738,f1155]) ).
fof(f2175,plain,
! [X0] : c_HOL_Oplus__class_Oplus(X0,v_cs____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0,
inference(forward_demodulation,[],[f2174,f1062]) ).
fof(f2370,plain,
! [X0,X1] : c_Polynomial_Opoly(c_Polynomial_OpCons(X0,v_cs____,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = X0,
inference(unit_resulting_resolution,[],[f1778,f2175]) ).
fof(f2382,plain,
! [X2,X0,X1] : c_Polynomial_Opoly(c_Polynomial_OpCons(X2,c_Polynomial_OpCons(X0,v_cs____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X0,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
inference(superposition,[],[f1601,f2370]) ).
fof(f2596,plain,
~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(v_z____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_aa____,c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(unit_resulting_resolution,[],[f1030,f1064,f1039]) ).
fof(f2675,plain,
~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(v_z____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(v_z____,v_c____,tc_Complex_Ocomplex),v_aa____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f2596,f2382]) ).
fof(f2737,plain,
$false,
inference(forward_subsumption_resolution,[],[f2675,f1016]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG385-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.27 % Computer : n011.cluster.edu
% 0.10/0.27 % Model : x86_64 x86_64
% 0.10/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.27 % Memory : 8046.5625MB
% 0.10/0.27 % OS : Linux 6.8.0-71-generic
% 0.10/0.27 % CPULimit : 300
% 0.10/0.27 % WCLimit : 300
% 0.10/0.27 % DateTime : Mon Sep 28 20:15:01 UTC 2026
% 0.10/0.27 % CPUTime :
% 0.10/0.27 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.28/0.32 Running first-order theorem proving
% 0.28/0.32 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
% 7.82/1.97 % (3723020)Input is clausal, will run a generic CNF schedule.
% 7.82/1.97 % (3723028)lrs+10_1_sil=8000:sp=occurrence:random_seed=761288326:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.82/1.97 % (3723031)dis-21_1_sil=8000:lcm=predicate:random_seed=3658204054: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)
% 7.82/1.97 % (3723025)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=2921907793:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.82/1.97 % (3723026)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=483391952:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.82/1.97 % (3723030)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3733390531:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.82/1.97 % (3723027)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2881084271:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.82/1.97 % (3723029)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=413399509:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.82/1.97 % (3723030)Instruction limit reached!
% 7.82/1.97 % (3723030)------------------------------
% 7.82/1.97 % (3723030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.82/1.97 % (3723030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.82/1.97 % (3723030)CaDiCaL version: 2.1.3
% 7.82/1.97 % (3723030)Termination reason: Instruction limit
% 7.82/1.97 % (3723030)Termination phase: Saturation
% 7.82/1.97 % (3723030)Time elapsed: 0.069 s
% 7.82/1.97 % (3723030)Peak memory usage: 90 MB
% 7.82/1.97 % (3723030)Instructions burned: 181 (million)
% 7.82/1.97 % (3723031)Instruction limit reached!
% 7.82/1.97 % (3723031)------------------------------
% 7.82/1.97 % (3723031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.82/1.97 % (3723031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.82/1.97 % (3723031)CaDiCaL version: 2.1.3
% 7.82/1.97 % (3723031)Termination reason: Instruction limit
% 7.82/1.97 % (3723031)Termination phase: Saturation
% 7.82/1.97 % (3723031)Time elapsed: 0.070 s
% 7.82/1.97 % (3723031)Peak memory usage: 89 MB
% 7.82/1.97 % (3723031)Instructions burned: 118 (million)
% 7.82/1.97 % (3723028)Instruction limit reached!
% 7.82/1.97 % (3723028)------------------------------
% 7.82/1.97 % (3723028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.82/1.97 % (3723028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.82/1.97 % (3723028)CaDiCaL version: 2.1.3
% 7.82/1.97 % (3723028)Termination reason: Instruction limit
% 7.82/1.97 % (3723028)Termination phase: Saturation
% 7.82/1.97 % (3723028)Time elapsed: 0.072 s
% 7.82/1.97 % (3723028)Peak memory usage: 89 MB
% 7.82/1.97 % (3723028)Instructions burned: 107 (million)
% 7.82/1.97 % (3723029)Instruction limit reached!
% 7.82/1.97 % (3723029)------------------------------
% 7.82/1.97 % (3723029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.82/1.97 % (3723029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.82/1.97 % (3723029)CaDiCaL version: 2.1.3
% 7.82/1.97 % (3723029)Termination reason: Instruction limit
% 7.82/1.97 % (3723029)Termination phase: Saturation
% 7.82/1.97 % (3723029)Time elapsed: 0.081 s
% 7.82/1.97 % (3723029)Peak memory usage: 89 MB
% 7.82/1.97 % (3723029)Instructions burned: 114 (million)
% 7.82/1.97 % (3723039)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=1561950407:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 7.82/1.97 % (3723041)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=160649450:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.82/1.97 % (3723040)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2239796382: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)
% 7.82/1.97 % (3723042)lrs+10_64_to=lpo:sil=8000:random_seed=2500667050:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 7.82/1.97 % (3723039)Instruction limit reached!
% 10.37/2.10 % (3723039)------------------------------
% 10.37/2.10 % (3723039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.37/2.10 % (3723039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.37/2.10 % (3723039)CaDiCaL version: 2.1.3
% 10.37/2.10 % (3723039)Termination reason: Instruction limit
% 10.37/2.10 % (3723039)Termination phase: Saturation
% 10.37/2.10 % (3723039)Time elapsed: 0.051 s
% 10.37/2.10 % (3723039)Peak memory usage: 90 MB
% 10.37/2.10 % (3723039)Instructions burned: 145 (million)
% 10.37/2.10 % (3723042)Instruction limit reached!
% 10.37/2.10 % (3723042)------------------------------
% 10.37/2.10 % (3723042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.37/2.10 % (3723042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.37/2.10 % (3723042)CaDiCaL version: 2.1.3
% 10.37/2.10 % (3723042)Termination reason: Instruction limit
% 10.37/2.10 % (3723042)Termination phase: Saturation
% 10.37/2.10 % (3723042)Time elapsed: 0.082 s
% 10.37/2.10 % (3723042)Peak memory usage: 90 MB
% 10.37/2.10 % (3723042)Instructions burned: 126 (million)
% 10.37/2.10 % (3723040)Instruction limit reached!
% 10.37/2.10 % (3723040)------------------------------
% 10.37/2.10 % (3723040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.37/2.10 % (3723040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.37/2.10 % (3723040)CaDiCaL version: 2.1.3
% 10.37/2.10 % (3723040)Termination reason: Instruction limit
% 10.37/2.10 % (3723040)Termination phase: Saturation
% 10.37/2.10 % (3723040)Time elapsed: 0.102 s
% 10.37/2.10 % (3723040)Peak memory usage: 90 MB
% 10.37/2.10 % (3723040)Instructions burned: 189 (million)
% 10.37/2.10 % (3723041)Instruction limit reached!
% 10.37/2.10 % (3723041)------------------------------
% 10.37/2.10 % (3723041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.37/2.10 % (3723041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.37/2.10 % (3723041)CaDiCaL version: 2.1.3
% 10.37/2.10 % (3723041)Termination reason: Instruction limit
% 10.37/2.10 % (3723041)Termination phase: Saturation
% 10.37/2.10 % (3723041)Time elapsed: 0.128 s
% 10.37/2.10 % (3723041)Peak memory usage: 90 MB
% 10.37/2.10 % (3723041)Instructions burned: 221 (million)
% 10.37/2.10 % (3723047)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1650146917:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 10.37/2.10 % (3723047)Instruction limit reached!
% 10.37/2.10 % (3723047)------------------------------
% 10.37/2.10 % (3723047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.37/2.10 % (3723047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.37/2.10 % (3723047)CaDiCaL version: 2.1.3
% 10.37/2.10 % (3723047)Termination reason: Instruction limit
% 10.37/2.10 % (3723047)Termination phase: Saturation
% 10.37/2.10 % (3723047)Time elapsed: 0.060 s
% 10.37/2.10 % (3723047)Peak memory usage: 90 MB
% 10.37/2.10 % (3723047)Instructions burned: 194 (million)
% 10.37/2.10 % (3723049)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1437819561:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 10.37/2.10 % (3723048)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=149086473:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 10.37/2.10 % (3723050)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=3149776435:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 10.37/2.10 % (3723050)Instruction limit reached!
% 10.37/2.10 % (3723050)------------------------------
% 10.37/2.10 % (3723050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.37/2.10 % (3723050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.37/2.10 % (3723050)CaDiCaL version: 2.1.3
% 10.37/2.10 % (3723050)Termination reason: Instruction limit
% 10.37/2.10 % (3723050)Termination phase: Saturation
% 10.37/2.10 % (3723050)Time elapsed: 0.050 s
% 10.37/2.10 % (3723050)Peak memory usage: 89 MB
% 10.37/2.10 % (3723050)Instructions burned: 108 (million)
% 10.37/2.10 % (3723048)Instruction limit reached!
% 10.37/2.10 % (3723048)------------------------------
% 10.37/2.10 % (3723048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.37/2.10 % (3723048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.37/2.10 % (3723048)CaDiCaL version: 2.1.3
% 10.37/2.10 % (3723048)Termination reason: Instruction limit
% 10.37/2.10 % (3723048)Termination phase: Saturation
% 10.37/2.10 % (3723048)Time elapsed: 0.095 s
% 10.37/2.10 % (3723048)Peak memory usage: 90 MB
% 10.37/2.10 % (3723048)Instructions burned: 157 (million)
% 10.37/2.10 % (3723052)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3715988801:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 10.37/2.10 % (3723052)Instruction limit reached!
% 10.37/2.10 % (3723052)------------------------------
% 10.37/2.10 % (3723052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.37/2.10 % (3723052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.37/2.10 % (3723052)CaDiCaL version: 2.1.3
% 10.37/2.10 % (3723052)Termination reason: Instruction limit
% 10.37/2.10 % (3723052)Termination phase: Saturation
% 10.37/2.10 % (3723052)Time elapsed: 0.035 s
% 10.37/2.10 % (3723052)Peak memory usage: 90 MB
% 10.37/2.10 % (3723052)Instructions burned: 108 (million)
% 10.37/2.10 % (3723056)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2875732317:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 10.37/2.10 % (3723057)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2440780097:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 10.37/2.10 % (3723059)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2695432463:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 10.37/2.10 % (3723059)Instruction limit reached!
% 10.37/2.10 % (3723059)------------------------------
% 10.37/2.10 % (3723059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.37/2.10 % (3723059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.37/2.10 % (3723059)CaDiCaL version: 2.1.3
% 10.37/2.10 % (3723059)Termination reason: Instruction limit
% 10.37/2.10 % (3723059)Termination phase: Saturation
% 10.37/2.10 % (3723059)Time elapsed: 0.031 s
% 10.37/2.10 % (3723059)Peak memory usage: 88 MB
% 10.37/2.10 % (3723059)Instructions burned: 138 (million)
% 10.37/2.10 % (3723056)Instruction limit reached!
% 10.37/2.10 % (3723056)------------------------------
% 10.37/2.10 % (3723056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.37/2.10 % (3723056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.37/2.10 % (3723056)CaDiCaL version: 2.1.3
% 10.37/2.10 % (3723056)Termination reason: Instruction limit
% 10.37/2.10 % (3723056)Termination phase: Saturation
% 10.37/2.10 % (3723056)Time elapsed: 0.143 s
% 10.37/2.10 % (3723056)Peak memory usage: 90 MB
% 10.37/2.10 % (3723056)Instructions burned: 242 (million)
% 10.37/2.10 % (3723063)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=4229856620:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 10.37/2.10 % (3723064)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1105899488:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 10.37/2.10 % (3723026)First to succeed.
% 10.37/2.10 % (3723026)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3723020"
% 10.37/2.10 % (3723063)Instruction limit reached!
% 10.37/2.10 % (3723063)------------------------------
% 10.37/2.10 % (3723063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.37/2.10 % (3723063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.37/2.10 % (3723063)CaDiCaL version: 2.1.3
% 10.37/2.10 % (3723063)Termination reason: Instruction limit
% 10.37/2.10 % (3723063)Termination phase: Saturation
% 10.37/2.10 % (3723063)Time elapsed: 0.166 s
% 10.37/2.10 % (3723063)Peak memory usage: 95 MB
% 10.37/2.10 % (3723063)Instructions burned: 501 (million)
% 10.37/2.10 % (3723064)Instruction limit reached!
% 10.37/2.10 % (3723064)------------------------------
% 10.37/2.10 % (3723064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.37/2.10 % (3723064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.37/2.10 % (3723064)CaDiCaL version: 2.1.3
% 10.37/2.10 % (3723064)Termination reason: Instruction limit
% 10.37/2.10 % (3723064)Termination phase: Saturation
% 10.37/2.10 % (3723064)Time elapsed: 0.131 s
% 10.37/2.10 % (3723064)Peak memory usage: 91 MB
% 10.37/2.10 % (3723064)Instructions burned: 192 (million)
% 10.37/2.10 % (3723027)Also succeeded, but the first one will report.
% 10.37/2.10 % (3723067)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3393413300:i=264:kws=precedence:fsr=off_2987 on theBenchmark for (2987ds/264Mi)
% 10.93/2.29 % (3723067)Instruction limit reached!
% 10.93/2.29 % (3723067)------------------------------
% 10.93/2.29 % (3723067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.29 % (3723067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.29 % (3723067)CaDiCaL version: 2.1.3
% 10.93/2.29 % (3723067)Termination reason: Instruction limit
% 10.93/2.29 % (3723067)Termination phase: Saturation
% 10.93/2.29 % (3723067)Time elapsed: 0.073 s
% 10.93/2.29 % (3723067)Peak memory usage: 92 MB
% 10.93/2.29 % (3723067)Instructions burned: 267 (million)
% 10.93/2.29 % (3723026)Refutation found. Thanks to Tanya!
% 10.93/2.29 % SZS status Unsatisfiable for theBenchmark
% 10.93/2.29 % SZS output start Proof for theBenchmark
% See solution above
% 10.93/2.29 % (3723026)------------------------------
% 10.93/2.29 % (3723026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.29 % (3723026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.29 % (3723026)CaDiCaL version: 2.1.3
% 10.93/2.29 % (3723026)Termination reason: Refutation
% 10.93/2.29 % (3723026)Time elapsed: 1.037 s
% 10.93/2.29 % (3723026)Peak memory usage: 139 MB
% 10.93/2.29 % (3723026)Instructions burned: 1616 (million)
% 10.93/2.29 % (3723026)------------------------------
% 10.93/2.29 % (3723026)------------------------------
% 10.93/2.29 % (3723020)Success in time 1.486 s
% 10.93/2.29 % Vampire exiting
%------------------------------------------------------------------------------