%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG421-1 : 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 : n017.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 09:30:31 AM UTC 2026
% Result : Unsatisfiable 2.26s 0.62s
% Output : Refutation 2.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of formulae : 11 ( 9 unt; 0 def)
% Number of atoms : 13 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_poly__power_0) ).
fof(f957,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/sandbox2/benchmark/theBenchmark.p',cls_u_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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1020,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0) ).
fof(f1330,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(resolution,[],[f953,f1020]) ).
fof(f1332,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,[],[f1330,f957]) ).
fof(f4995,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(resolution,[],[f951,f1021]) ).
fof(f9408,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,f4995]) ).
fof(f9413,plain,
$false,
inference(forward_subsumption_resolution,[],[f9408,f1332]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG421-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n017.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 20:16:10 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 2.26/0.62 % (3964595)Will run a generic schedule for satisfiability detection.
% 2.26/0.62 % (3964604)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2258870386:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.26/0.62 % (3964601)% WARNING: option uhcvi not known.
% 2.26/0.62 % (3964600)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1422037814_2999 on theBenchmark for (2999ds/0Mi)
% 2.26/0.62 % (3964601)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1014069337:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.26/0.62 % (3964602)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1571391514:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.26/0.62 % (3964606)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3027164132:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.26/0.62 % (3964603)dis+10_1_sil=32000:sp=arity:random_seed=4286870674:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.26/0.62 % (3964605)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2662542103:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.26/0.62 % (3964604)Instruction limit reached!
% 2.26/0.62 % (3964604)------------------------------
% 2.26/0.62 % (3964604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.62 % (3964604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.62 % (3964604)CaDiCaL version: 2.1.3
% 2.26/0.62 % (3964604)Termination reason: Instruction limit
% 2.26/0.62 % (3964604)Termination phase: Saturation
% 2.26/0.62 % (3964604)Time elapsed: 0.041 s
% 2.26/0.62 % (3964604)Peak memory usage: 14 MB
% 2.26/0.62 % (3964604)Instructions burned: 116 (million)
% 2.26/0.62 % (3964614)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1526766359:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.26/0.62 % (3964603)Instruction limit reached!
% 2.26/0.62 % (3964603)------------------------------
% 2.26/0.62 % (3964603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.62 % (3964603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.62 % (3964603)CaDiCaL version: 2.1.3
% 2.26/0.62 % (3964603)Termination reason: Instruction limit
% 2.26/0.62 % (3964603)Termination phase: Saturation
% 2.26/0.62 % (3964603)Time elapsed: 0.067 s
% 2.26/0.62 % (3964603)Peak memory usage: 13 MB
% 2.26/0.62 % (3964603)Instructions burned: 103 (million)
% 2.26/0.62 % TRYING [1]
% 2.26/0.62 % TRYING [2]
% 2.26/0.62 % (3964616)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=511419809:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.26/0.62 % (3964605)Instruction limit reached!
% 2.26/0.62 % (3964605)------------------------------
% 2.26/0.62 % (3964605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.62 % TRYING [1]
% 2.26/0.62 % (3964605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.62 % (3964605)CaDiCaL version: 2.1.3
% 2.26/0.62 % (3964605)Termination reason: Instruction limit
% 2.26/0.62 % (3964605)Termination phase: Saturation
% 2.26/0.62 % (3964605)Time elapsed: 0.089 s
% 2.26/0.62 % (3964605)Peak memory usage: 14 MB
% 2.26/0.62 % (3964605)Instructions burned: 132 (million)
% 2.26/0.62 % TRYING [2]
% 2.26/0.62 % (3964606)Instruction limit reached!
% 2.26/0.62 % (3964606)------------------------------
% 2.26/0.62 % (3964606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.62 % (3964606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.62 % (3964606)CaDiCaL version: 2.1.3
% 2.26/0.62 % (3964606)Termination reason: Instruction limit
% 2.26/0.62 % (3964606)Termination phase: Saturation
% 2.26/0.62 % (3964606)Time elapsed: 0.103 s
% 2.26/0.62 % (3964606)Peak memory usage: 14 MB
% 2.26/0.62 % (3964606)Instructions burned: 160 (million)
% 2.26/0.62 % (3964618)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=3223722527:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.26/0.62 % (3964619)ott-21_1_sil=16000:fs=off:random_seed=1506518550:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.26/0.62 % TRYING [3]
% 2.26/0.62 % TRYING [3]
% 2.26/0.62 % (3964616)Instruction limit reached!
% 2.26/0.62 % (3964616)------------------------------
% 2.26/0.62 % (3964616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.62 % (3964616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.62 % (3964616)CaDiCaL version: 2.1.3
% 2.26/0.62 % (3964616)Termination reason: Instruction limit
% 2.26/0.62 % (3964616)Termination phase: Saturation
% 2.26/0.62 % (3964616)Time elapsed: 0.078 s
% 2.26/0.62 % (3964616)Peak memory usage: 13 MB
% 2.26/0.62 % (3964616)Instructions burned: 131 (million)
% 2.26/0.62 % (3964622)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=41064981:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.26/0.62 % (3964614)Instruction limit reached!
% 2.26/0.62 % (3964614)------------------------------
% 2.26/0.62 % (3964614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.62 % (3964614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.62 % (3964614)CaDiCaL version: 2.1.3
% 2.26/0.62 % (3964614)Termination reason: Instruction limit
% 2.26/0.62 % (3964614)Termination phase: Finite model building constraint generation
% 2.26/0.62 % (3964614)Time elapsed: 0.145 s
% 2.26/0.62 % (3964614)Peak memory usage: 32 MB
% 2.26/0.62 % (3964614)Instructions burned: 718 (million)
% 2.26/0.62 % (3964619)Instruction limit reached!
% 2.26/0.62 % (3964619)------------------------------
% 2.26/0.62 % (3964619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.62 % (3964619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.62 % (3964619)CaDiCaL version: 2.1.3
% 2.26/0.62 % (3964619)Termination reason: Instruction limit
% 2.26/0.62 % (3964619)Termination phase: Saturation
% 2.26/0.62 % (3964619)Time elapsed: 0.077 s
% 2.26/0.62 % (3964619)Peak memory usage: 12 MB
% 2.26/0.62 % (3964619)Instructions burned: 181 (million)
% 2.26/0.62 % (3964624)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1542337288:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.26/0.62 % (3964625)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3532977603:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.26/0.62 % TRYING [1]
% 2.26/0.62 % TRYING [2]
% 2.26/0.62 % (3964618) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3964595-3964618"...
% 2.26/0.62 % (3964618)...printing done.
% 2.26/0.62 % (3964618)Refutation found. Thanks to Tanya!
% 2.26/0.62 % SZS status Unsatisfiable for theBenchmark
% 2.26/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 2.26/0.62 % (3964618)------------------------------
% 2.26/0.62 % (3964618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.62 % (3964618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.62 % (3964618)CaDiCaL version: 2.1.3
% 2.26/0.62 % (3964618)Termination reason: Refutation
% 2.26/0.62 % (3964618)Time elapsed: 0.205 s
% 2.26/0.62 % (3964618)Peak memory usage: 16 MB
% 2.26/0.62 % (3964618)Instructions burned: 374 (million)
% 2.26/0.62 % (3964595)Success in time 0.385 s
% 2.26/0.62 % Vampire exiting
%------------------------------------------------------------------------------