%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG438-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 09:30:32 AM UTC 2026
% Result : Unsatisfiable 1.34s 0.47s
% Output : Refutation 1.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 6 ( 5 unt; 0 def)
% Number of atoms : 7 ( 4 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 4 ( 3 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f299,axiom,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
| c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(X1,X2,X0),X3,tc_Polynomial_Opoly(X0)) = c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X1,X3,X0),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X3,tc_Polynomial_Opoly(X0)),X0),tc_Polynomial_Opoly(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__pCons__left_0) ).
fof(f413,negated_conjecture,
c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(v_a,c_Polynomial_OpCons(v_b,v_p,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(v_a,v_q,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(v_b,v_p,tc_Complex_Ocomplex),v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f424,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0) ).
fof(f1307,plain,
! [X2,X0,X1] : c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(X0,X1,tc_Complex_Ocomplex),X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X0,X2,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(resolution,[],[f299,f424]) ).
fof(f1314,plain,
c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(v_a,c_Polynomial_OpCons(v_b,v_p,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(v_a,c_Polynomial_OpCons(v_b,v_p,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(backward_demodulation,[],[f413,f1307]) ).
fof(f1315,plain,
$false,
inference(trivial_inequality_removal,[],[f1314]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG438-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 % Computer : n009.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 20:24:45 UTC 2026
% 0.08/0.22 % CPUTime :
% 0.08/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.25 Running first-order model finding
% 0.08/0.25 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.34/0.47 % (3418501)Will run a generic schedule for satisfiability detection.
% 1.34/0.47 % (3418511)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4095907136:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.34/0.47 % (3418507)% WARNING: option uhcvi not known.
% 1.34/0.47 % (3418506)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2789285650_2999 on theBenchmark for (2999ds/0Mi)
% 1.34/0.47 % (3418510)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2929830301:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.34/0.47 % (3418507)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=728784120:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.34/0.47 % (3418512)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1369575503:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.34/0.47 % (3418508)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2399611078:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.34/0.47 % (3418509)dis+10_1_sil=32000:sp=arity:random_seed=1060592876:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.34/0.47 % TRYING [1]
% 1.34/0.47 % TRYING [2]
% 1.34/0.47 % (3418511)Instruction limit reached!
% 1.34/0.47 % (3418511)------------------------------
% 1.34/0.47 % (3418511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.34/0.47 % (3418511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.34/0.47 % (3418511)CaDiCaL version: 2.1.3
% 1.34/0.47 % (3418511)Termination reason: Instruction limit
% 1.34/0.47 % (3418511)Termination phase: Saturation
% 1.34/0.47 % (3418511)Time elapsed: 0.042 s
% 1.34/0.47 % (3418511)Peak memory usage: 13 MB
% 1.34/0.47 % (3418511)Instructions burned: 132 (million)
% 1.34/0.47 % TRYING [3]
% 1.34/0.47 % (3418520)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3614887782:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.34/0.47 % TRYING [1]
% 1.34/0.47 % (3418509)Instruction limit reached!
% 1.34/0.47 % (3418509)------------------------------
% 1.34/0.47 % (3418509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.34/0.47 % (3418509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.34/0.47 % (3418509)CaDiCaL version: 2.1.3
% 1.34/0.47 % (3418509)Termination reason: Instruction limit
% 1.34/0.47 % (3418509)Termination phase: Saturation
% 1.34/0.47 % (3418509)Time elapsed: 0.065 s
% 1.34/0.47 % (3418509)Peak memory usage: 12 MB
% 1.34/0.47 % (3418509)Instructions burned: 103 (million)
% 1.34/0.47 % TRYING [2]
% 1.34/0.47 % (3418510)Instruction limit reached!
% 1.34/0.47 % (3418510)------------------------------
% 1.34/0.47 % (3418510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.34/0.47 % (3418510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.34/0.47 % (3418510)CaDiCaL version: 2.1.3
% 1.34/0.47 % (3418510)Termination reason: Instruction limit
% 1.34/0.47 % (3418510)Termination phase: Saturation
% 1.34/0.47 % (3418510)Time elapsed: 0.068 s
% 1.34/0.47 % (3418510)Peak memory usage: 13 MB
% 1.34/0.47 % (3418510)Instructions burned: 116 (million)
% 1.34/0.47 % (3418522)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1727551096:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.34/0.47 % TRYING [3]
% 1.34/0.47 % (3418523)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2041700376:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.34/0.47 % (3418512)Instruction limit reached!
% 1.34/0.47 % (3418512)------------------------------
% 1.34/0.47 % (3418512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.34/0.47 % (3418512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.34/0.47 % (3418512)CaDiCaL version: 2.1.3
% 1.34/0.47 % (3418512)Termination reason: Instruction limit
% 1.34/0.47 % (3418512)Termination phase: Saturation
% 1.34/0.47 % (3418512)Time elapsed: 0.096 s
% 1.34/0.47 % (3418512)Peak memory usage: 13 MB
% 1.34/0.47 % (3418512)Instructions burned: 160 (million)
% 1.34/0.47 % (3418526)ott-21_1_sil=16000:fs=off:random_seed=2449191548:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.34/0.47 % (3418522) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3418501-3418522"...
% 1.34/0.47 % (3418522)...printing done.
% 1.34/0.47 % (3418522)Refutation found. Thanks to Tanya!
% 1.34/0.47 % SZS status Unsatisfiable for theBenchmark
% 1.34/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 1.34/0.47 % (3418522)------------------------------
% 1.34/0.47 % (3418522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.34/0.47 % (3418522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.34/0.47 % (3418522)CaDiCaL version: 2.1.3
% 1.34/0.47 % (3418522)Termination reason: Refutation
% 1.34/0.47 % (3418522)Time elapsed: 0.074 s
% 1.34/0.47 % (3418522)Peak memory usage: 14 MB
% 1.34/0.47 % (3418522)Instructions burned: 122 (million)
% 1.34/0.47 % (3418501)Success in time 0.209 s
% 1.34/0.47 % Vampire exiting
%------------------------------------------------------------------------------