%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG421-1 : 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 : n004.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 09:19:59 AM UTC 2026
% Result : Unsatisfiable 0.18s 2.31s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 12 ( 10 unt; 0 def)
% Number of atoms : 14 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f951,axiom,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
| c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(X0)),X3,X0) = c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(X1,X3,X0),c_Polynomial_Opoly(X2,X3,X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_poly__mult_0) ).
fof(f953,axiom,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| c_Polynomial_Opoly(c_Power_Opower__class_Opower(X1,X2,tc_Polynomial_Opoly(X0)),X3,X0) = c_Power_Opower__class_Opower(c_Polynomial_Opoly(X1,X3,X0),X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_poly__power_0) ).
fof(f980,axiom,
c_Power_Opower__class_Opower(v_r____,c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Otimes__class_Otimes(v_s____,v_u____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f981,negated_conjecture,
c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(v_s____,v_x,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_u____,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Power_Opower__class_Opower(c_Polynomial_Opoly(v_r____,v_x,tc_Complex_Ocomplex),c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1020,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1) ).
fof(f1021,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(f1197,plain,
! [X2,X0,X1] : c_Polynomial_Opoly(c_Power_Opower__class_Opower(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_Polynomial_Opoly(X0,X2,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),
inference(unit_resulting_resolution,[],[f953,f1020]) ).
fof(f1198,plain,
! [X2,X0,X1] : c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(X0,X1,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X2,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(X0,X2,tc_Complex_Ocomplex),c_Polynomial_Opoly(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(unit_resulting_resolution,[],[f951,f1021]) ).
fof(f1215,plain,
c_Power_Opower__class_Opower(c_Polynomial_Opoly(v_r____,v_x,tc_Complex_Ocomplex),c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(v_s____,v_u____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_x,tc_Complex_Ocomplex),
inference(superposition,[],[f981,f1198]) ).
fof(f1220,plain,
! [X0] : c_Power_Opower__class_Opower(c_Polynomial_Opoly(v_r____,X0,tc_Complex_Ocomplex),c_Polynomial_Odegree(v_s____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(v_s____,v_u____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Complex_Ocomplex),
inference(superposition,[],[f1197,f980]) ).
fof(f1224,plain,
c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(v_s____,v_u____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_x,tc_Complex_Ocomplex) != c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(v_s____,v_u____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_x,tc_Complex_Ocomplex),
inference(superposition,[],[f1215,f1220]) ).
fof(f1227,plain,
$false,
inference(trivial_inequality_removal,[],[f1224]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG421-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.18 % Computer : n004.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Mon Sep 28 20:20:22 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.22 Running first-order theorem proving
% 0.06/0.22 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
% 9.79/2.08 % (717806)Input is clausal, will run a generic CNF schedule.
% 9.79/2.08 % (717896)lrs+10_1_sil=8000:sp=occurrence:random_seed=3002516234:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.79/2.08 % (717896)Instruction limit reached!
% 9.79/2.08 % (717896)------------------------------
% 9.79/2.08 % (717896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.79/2.08 % (717896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.79/2.08 % (717896)CaDiCaL version: 2.1.3
% 9.79/2.08 % (717896)Termination reason: Instruction limit
% 9.79/2.08 % (717896)Termination phase: Saturation
% 9.79/2.08 % (717896)Time elapsed: 0.038 s
% 9.79/2.08 % (717896)Peak memory usage: 90 MB
% 9.79/2.08 % (717896)Instructions burned: 107 (million)
% 9.79/2.08 % (717895)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2459379342:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.79/2.08 % (717899)dis-21_1_sil=8000:lcm=predicate:random_seed=618337967: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)
% 9.79/2.08 % (717898)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=479675232:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.79/2.08 % (717891)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=2912427002:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.79/2.08 % (717894)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2877522961:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.79/2.08 % (717897)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2682216750:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.79/2.08 % (717899)Instruction limit reached!
% 9.79/2.08 % (717899)------------------------------
% 9.79/2.08 % (717899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.79/2.08 % (717899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.79/2.08 % (717899)CaDiCaL version: 2.1.3
% 9.79/2.08 % (717899)Termination reason: Instruction limit
% 9.79/2.08 % (717899)Termination phase: Saturation
% 9.79/2.08 % (717899)Time elapsed: 0.077 s
% 9.79/2.08 % (717899)Peak memory usage: 90 MB
% 9.79/2.08 % (717899)Instructions burned: 118 (million)
% 9.79/2.08 % (717897)Instruction limit reached!
% 9.79/2.08 % (717897)------------------------------
% 9.79/2.08 % (717897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.79/2.08 % (717897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.79/2.08 % (717897)CaDiCaL version: 2.1.3
% 9.79/2.08 % (717897)Termination reason: Instruction limit
% 9.79/2.08 % (717897)Termination phase: Saturation
% 9.79/2.08 % (717897)Time elapsed: 0.072 s
% 9.79/2.08 % (717897)Peak memory usage: 89 MB
% 9.79/2.08 % (717897)Instructions burned: 114 (million)
% 9.79/2.08 % (717898)Instruction limit reached!
% 9.79/2.08 % (717898)------------------------------
% 9.79/2.08 % (717898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.79/2.08 % (717898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.79/2.08 % (717898)CaDiCaL version: 2.1.3
% 9.79/2.08 % (717898)Termination reason: Instruction limit
% 9.79/2.08 % (717898)Termination phase: Saturation
% 9.79/2.08 % (717898)Time elapsed: 0.126 s
% 9.79/2.08 % (717898)Peak memory usage: 90 MB
% 9.79/2.08 % (717898)Instructions burned: 181 (million)
% 9.79/2.08 % (717929)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=41702602:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 9.79/2.08 % (717929)Refutation not found, incomplete strategy
% 9.79/2.08 % (717929)------------------------------
% 9.79/2.08 % (717929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.79/2.08 % (717929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.79/2.08 % (717929)CaDiCaL version: 2.1.3
% 9.79/2.08 % (717929)Termination reason: Refutation not found, incomplete strategy
% 9.79/2.08 % (717929)Time elapsed: 0.007 s
% 9.79/2.08 % (717929)Peak memory usage: 89 MB
% 9.79/2.08 % (717929)Instructions burned: 19 (million)
% 9.79/2.08 % (717947)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1323403718: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)
% 0.18/2.31 % (717929)------------------------------
% 0.18/2.31 % (717929)------------------------------
% 0.18/2.31 % (717959)lrs+10_64_to=lpo:sil=8000:random_seed=2104596124:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 0.18/2.31 % (717953)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2858299339:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 0.18/2.31 % (717947)Instruction limit reached!
% 0.18/2.31 % (717947)------------------------------
% 0.18/2.31 % (717947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/2.31 % (717947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/2.31 % (717947)CaDiCaL version: 2.1.3
% 0.18/2.31 % (717947)Termination reason: Instruction limit
% 0.18/2.31 % (717947)Termination phase: Saturation
% 0.18/2.31 % (717947)Time elapsed: 0.092 s
% 0.18/2.31 % (717947)Peak memory usage: 90 MB
% 0.18/2.31 % (717947)Instructions burned: 190 (million)
% 0.18/2.31 % (717953)Refutation not found, incomplete strategy
% 0.18/2.31 % (717953)------------------------------
% 0.18/2.31 % (717953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/2.31 % (717953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/2.31 % (717953)CaDiCaL version: 2.1.3
% 0.18/2.31 % (717953)Termination reason: Refutation not found, incomplete strategy
% 0.18/2.31 % (717953)Time elapsed: 0.027 s
% 0.18/2.31 % (717953)Peak memory usage: 89 MB
% 0.18/2.31 % (717953)Instructions burned: 45 (million)
% 0.18/2.31 % (717959)Instruction limit reached!
% 0.18/2.31 % (717959)------------------------------
% 0.18/2.31 % (717959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/2.31 % (717959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/2.31 % (717959)CaDiCaL version: 2.1.3
% 0.18/2.31 % (717959)Termination reason: Instruction limit
% 0.18/2.31 % (717959)Termination phase: Saturation
% 0.18/2.31 % (717959)Time elapsed: 0.082 s
% 0.18/2.31 % (717959)Peak memory usage: 90 MB
% 0.18/2.31 % (717959)Instructions burned: 127 (million)
% 0.18/2.31 % (717962)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1623433345:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 0.18/2.31 % (717962)Instruction limit reached!
% 0.18/2.31 % (717962)------------------------------
% 0.18/2.31 % (717962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/2.31 % (717962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/2.31 % (717962)CaDiCaL version: 2.1.3
% 0.18/2.31 % (717962)Termination reason: Instruction limit
% 0.18/2.31 % (717962)Termination phase: Saturation
% 0.18/2.31 % (717962)Time elapsed: 0.070 s
% 0.18/2.31 % (717962)Peak memory usage: 91 MB
% 0.18/2.31 % (717962)Instructions burned: 196 (million)
% 0.18/2.31 % (717964)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=730686570:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 0.18/2.31 % (717965)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3218260590:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 0.18/2.31 % (717953)------------------------------
% 0.18/2.31 % (717953)------------------------------
% 0.18/2.31 % (717964)Instruction limit reached!
% 0.18/2.31 % (717964)------------------------------
% 0.18/2.31 % (717964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/2.31 % (717964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/2.31 % (717964)CaDiCaL version: 2.1.3
% 0.18/2.31 % (717964)Termination reason: Instruction limit
% 0.18/2.31 % (717964)Termination phase: Saturation
% 0.18/2.31 % (717964)Time elapsed: 0.108 s
% 0.18/2.31 % (717964)Peak memory usage: 91 MB
% 0.18/2.31 % (717964)Instructions burned: 158 (million)
% 0.18/2.31 % (717968)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=3317853473:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 0.18/2.31 % (717968)Instruction limit reached!
% 0.18/2.31 % (717968)------------------------------
% 0.18/2.31 % (717968)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/2.31 % (717968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/2.31 % (717968)CaDiCaL version: 2.1.3
% 0.18/2.31 % (717968)Termination reason: Instruction limit
% 0.18/2.31 % (717968)Termination phase: Saturation
% 0.18/2.31 % (717968)Time elapsed: 0.033 s
% 0.18/2.31 % (717968)Peak memory usage: 90 MB
% 0.18/2.31 % (717968)Instructions burned: 107 (million)
% 0.18/2.31 % (717894)First to succeed.
% 0.18/2.31 % (717894)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-717806"
% 0.18/2.31 % (717970)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1393954733:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 0.18/2.31 % (717971)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3317196124:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 0.18/2.31 % (717895)Also succeeded, but the first one will report.
% 0.18/2.31 % (717970)Refutation not found, incomplete strategy
% 0.18/2.31 % (717970)------------------------------
% 0.18/2.31 % (717970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/2.31 % (717970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/2.31 % (717970)CaDiCaL version: 2.1.3
% 0.18/2.31 % (717970)Termination reason: Refutation not found, incomplete strategy
% 0.18/2.31 % (717970)Time elapsed: 0.026 s
% 0.18/2.31 % (717970)Peak memory usage: 89 MB
% 0.18/2.31 % (717970)Instructions burned: 25 (million)
% 0.18/2.31 % (717975)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2585951412:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 0.18/2.31 % (717891)Also succeeded, but the first one will report.
% 0.18/2.31 % (717971)Instruction limit reached!
% 0.18/2.31 % (717971)------------------------------
% 0.18/2.31 % (717971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/2.31 % (717971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/2.31 % (717971)CaDiCaL version: 2.1.3
% 0.18/2.31 % (717971)Termination reason: Instruction limit
% 0.18/2.31 % (717971)Termination phase: Saturation
% 0.18/2.31 % (717971)Time elapsed: 0.224 s
% 0.18/2.31 % (717971)Peak memory usage: 90 MB
% 0.18/2.31 % (717971)Instructions burned: 242 (million)
% 0.18/2.31 % (717894)Refutation found. Thanks to Tanya!
% 0.18/2.31 % SZS status Unsatisfiable for theBenchmark
% 0.18/2.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/2.31 % (717894)------------------------------
% 0.18/2.31 % (717894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/2.31 % (717894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/2.31 % (717894)CaDiCaL version: 2.1.3
% 0.18/2.31 % (717894)Termination reason: Refutation
% 0.18/2.31 % (717894)Time elapsed: 0.794 s
% 0.18/2.31 % (717894)Peak memory usage: 137 MB
% 0.18/2.31 % (717894)Instructions burned: 1164 (million)
% 0.18/2.31 % (717894)------------------------------
% 0.18/2.31 % (717894)------------------------------
% 0.18/2.31 % (717806)Success in time 1.408 s
% 0.18/2.31 % Vampire exiting
%------------------------------------------------------------------------------