%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG348-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 09:30:23 AM UTC 2026
% Result : Unsatisfiable 3.93s 0.83s
% Output : Refutation 3.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 7 ( 5 unt; 0 def)
% Number of atoms : 9 ( 4 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 5 ( 3 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f949,axiom,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
| c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X2,X0),X3,X0) = c_Polynomial_Opoly(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_poly__offset__poly_0) ).
fof(f962,negated_conjecture,
c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_p,v_a,tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_p,c_HOL_Oplus__class_Oplus(v_a,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1070,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(f1714,plain,
! [X2,X3,X0,X1] :
( class_Ring__and__Field_Ocomm__semiring__0(X0)
| c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X2,X0),X3,X0) = c_Polynomial_Opoly(X1,c_HOL_Oplus__class_Oplus(X2,X3,X0),X0) ),
inference(consistent_polarity_flipping,[],[f949]) ).
fof(f1778,plain,
~ class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(consistent_polarity_flipping,[],[f1070]) ).
fof(f1864,plain,
! [X2,X0,X1] : c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X1,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex) = c_Polynomial_Opoly(X0,c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(resolution,[],[f1714,f1778]) ).
fof(f1866,plain,
$false,
inference(backward_subsumption_resolution,[],[f962,f1864]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG348-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n014.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 20:08:30 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.93/0.83 % (2123753)Will run a generic schedule for satisfiability detection.
% 3.93/0.83 % (2123764)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3213672523:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.93/0.83 % (2123759)% WARNING: option uhcvi not known.
% 3.93/0.83 % (2123758)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3035992263_2999 on theBenchmark for (2999ds/0Mi)
% 3.93/0.83 % (2123759)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=878630701:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.93/0.83 % (2123760)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=21417150:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.93/0.83 % (2123761)dis+10_1_sil=32000:sp=arity:random_seed=4243389549:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.93/0.83 % (2123763)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=822337919:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.93/0.83 % (2123762)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=901636450:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.93/0.83 % (2123764)Instruction limit reached!
% 3.93/0.83 % (2123764)------------------------------
% 3.93/0.83 % (2123764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.93/0.83 % (2123764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/0.83 % (2123764)CaDiCaL version: 2.1.3
% 3.93/0.83 % (2123764)Termination reason: Instruction limit
% 3.93/0.83 % (2123764)Termination phase: Saturation
% 3.93/0.83 % (2123764)Time elapsed: 0.057 s
% 3.93/0.83 % (2123764)Peak memory usage: 15 MB
% 3.93/0.83 % (2123764)Instructions burned: 159 (million)
% 3.93/0.83 % (2123772)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2869901673:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.93/0.83 % (2123761)Instruction limit reached!
% 3.93/0.83 % (2123761)------------------------------
% 3.93/0.83 % (2123761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.93/0.83 % (2123761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/0.83 % (2123761)CaDiCaL version: 2.1.3
% 3.93/0.83 % (2123761)Termination reason: Instruction limit
% 3.93/0.83 % (2123761)Termination phase: Saturation
% 3.93/0.83 % (2123761)Time elapsed: 0.066 s
% 3.93/0.83 % (2123761)Peak memory usage: 13 MB
% 3.93/0.83 % (2123761)Instructions burned: 104 (million)
% 3.93/0.83 % (2123762)Instruction limit reached!
% 3.93/0.83 % (2123762)------------------------------
% 3.93/0.83 % (2123762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.93/0.83 % (2123762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/0.83 % (2123762)CaDiCaL version: 2.1.3
% 3.93/0.83 % (2123762)Termination reason: Instruction limit
% 3.93/0.83 % (2123762)Termination phase: Saturation
% 3.93/0.83 % (2123762)Time elapsed: 0.074 s
% 3.93/0.83 % (2123762)Peak memory usage: 14 MB
% 3.93/0.83 % (2123762)Instructions burned: 121 (million)
% 3.93/0.83 % (2123763)Instruction limit reached!
% 3.93/0.83 % (2123763)------------------------------
% 3.93/0.83 % (2123763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.93/0.83 % (2123763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/0.83 % (2123763)CaDiCaL version: 2.1.3
% 3.93/0.83 % (2123763)Termination reason: Instruction limit
% 3.93/0.83 % (2123763)Termination phase: Saturation
% 3.93/0.83 % (2123763)Time elapsed: 0.078 s
% 3.93/0.83 % (2123763)Peak memory usage: 14 MB
% 3.93/0.83 % (2123763)Instructions burned: 131 (million)
% 3.93/0.83 % TRYING [1]
% 3.93/0.83 % (2123774)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2484978191:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 3.93/0.83 % TRYING [2]
% 3.93/0.83 % (2123775)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=1041455388:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 3.93/0.83 % (2123776)ott-21_1_sil=16000:fs=off:random_seed=1218086750:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 3.93/0.83 % TRYING [1]
% 3.93/0.83 % TRYING [2]
% 3.93/0.83 % TRYING [3]
% 3.93/0.83 % (2123774)Instruction limit reached!
% 3.93/0.83 % (2123774)------------------------------
% 3.93/0.83 % (2123774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.93/0.83 % (2123774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/0.83 % (2123774)CaDiCaL version: 2.1.3
% 3.93/0.83 % (2123774)Termination reason: Instruction limit
% 3.93/0.83 % (2123774)Termination phase: Saturation
% 3.93/0.83 % (2123774)Time elapsed: 0.078 s
% 3.93/0.83 % (2123774)Peak memory usage: 13 MB
% 3.93/0.83 % (2123774)Instructions burned: 131 (million)
% 3.93/0.83 % TRYING [3]
% 3.93/0.83 % (2123776)Instruction limit reached!
% 3.93/0.83 % (2123776)------------------------------
% 3.93/0.83 % (2123776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.93/0.83 % (2123776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/0.83 % (2123776)CaDiCaL version: 2.1.3
% 3.93/0.83 % (2123776)Termination reason: Instruction limit
% 3.93/0.83 % (2123776)Termination phase: Saturation
% 3.93/0.83 % (2123776)Time elapsed: 0.084 s
% 3.93/0.83 % (2123776)Peak memory usage: 13 MB
% 3.93/0.83 % (2123776)Instructions burned: 181 (million)
% 3.93/0.83 % (2123780)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4280443925:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 3.93/0.83 % (2123781)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3216095695:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 3.93/0.83 % (2123772)Instruction limit reached!
% 3.93/0.83 % (2123772)------------------------------
% 3.93/0.83 % (2123772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.93/0.83 % (2123772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/0.83 % (2123772)CaDiCaL version: 2.1.3
% 3.93/0.83 % (2123772)Termination reason: Instruction limit
% 3.93/0.83 % (2123772)Termination phase: Finite model building constraint generation
% 3.93/0.83 % (2123772)Time elapsed: 0.145 s
% 3.93/0.83 % (2123772)Peak memory usage: 32 MB
% 3.93/0.83 % (2123772)Instructions burned: 719 (million)
% 3.93/0.83 % (2123784)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2686501957:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 3.93/0.83 % TRYING [1]
% 3.93/0.83 % TRYING [2]
% 3.93/0.83 % (2123775)Instruction limit reached!
% 3.93/0.83 % (2123775)------------------------------
% 3.93/0.83 % (2123775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.93/0.83 % (2123775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/0.83 % (2123775)CaDiCaL version: 2.1.3
% 3.93/0.83 % (2123775)Termination reason: Instruction limit
% 3.93/0.83 % (2123775)Termination phase: Saturation
% 3.93/0.83 % (2123775)Time elapsed: 0.342 s
% 3.93/0.83 % (2123775)Peak memory usage: 19 MB
% 3.93/0.83 % (2123775)Instructions burned: 684 (million)
% 3.93/0.83 % (2123786)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2004780388:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 3.93/0.83 % (2123780)Instruction limit reached!
% 3.93/0.83 % (2123780)------------------------------
% 3.93/0.83 % (2123780)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.93/0.83 % (2123780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/0.83 % (2123780)CaDiCaL version: 2.1.3
% 3.93/0.83 % (2123780)Termination reason: Instruction limit
% 3.93/0.83 % (2123780)Termination phase: Saturation
% 3.93/0.83 % (2123780)Time elapsed: 0.309 s
% 3.93/0.83 % (2123780)Peak memory usage: 15 MB
% 3.93/0.83 % (2123780)Instructions burned: 477 (million)
% 3.93/0.83 % (2123788)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2460991314:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 3.93/0.83 % (2123788) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2123753-2123788"...
% 3.93/0.83 % (2123788)...printing done.
% 3.93/0.83 % (2123788)Refutation found. Thanks to Tanya!
% 3.93/0.83 % SZS status Unsatisfiable for theBenchmark
% 3.93/0.83 % SZS output start Proof for theBenchmark
% See solution above
% 3.93/0.83 % (2123788)------------------------------
% 3.93/0.83 % (2123788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.93/0.83 % (2123788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.93/0.83 % (2123788)CaDiCaL version: 2.1.3
% 3.93/0.83 % (2123788)Termination reason: Refutation
% 3.93/0.83 % (2123788)Time elapsed: 0.040 s
% 3.93/0.83 % (2123788)Peak memory usage: 14 MB
% 3.93/0.83 % (2123788)Instructions burned: 65 (million)
% 3.93/0.83 % (2123753)Success in time 0.616 s
% 3.93/0.83 % Vampire exiting
%------------------------------------------------------------------------------