%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG417-1 : 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 : n019.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 09:30:30 AM UTC 2026
% Result : Unsatisfiable 0.64s 0.41s
% Output : Refutation 0.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 11 ( 9 unt; 0 def)
% Number of atoms : 13 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 5 ( 3 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f305,axiom,
! [X0] :
( ~ class_HOL_Ozero(X0)
| c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pCons__0__0_0) ).
fof(f306,plain,
! [X0] :
( ~ class_HOL_Ozero(X0)
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) ),
inference(reorient_equations,[],[f305]) ).
fof(f407,axiom,
v_s____ != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sne_0) ).
fof(f501,axiom,
v_s____ = c_Polynomial_OpCons(v_k____,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_kpn_0) ).
fof(f597,negated_conjecture,
v_k____ = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f598,plain,
c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = v_k____,
inference(reorient_equations,[],[f597]) ).
fof(f692,axiom,
class_HOL_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__HOL_Ozero) ).
fof(f1438,plain,
c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),
inference(resolution,[],[f306,f692]) ).
fof(f1440,plain,
c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_OpCons(v_k____,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),
inference(forward_demodulation,[],[f1438,f598]) ).
fof(f1441,plain,
v_s____ = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(forward_demodulation,[],[f1440,f501]) ).
fof(f1442,plain,
$false,
inference(forward_subsumption_resolution,[],[f1441,f407]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG417-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 % Computer : n019.cluster.edu
% 0.09/0.23 % Model : x86_64 x86_64
% 0.09/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23 % Memory : 8046.5625MB
% 0.09/0.23 % OS : Linux 6.8.0-71-generic
% 0.09/0.23 % CPULimit : 300
% 0.09/0.23 % WCLimit : 300
% 0.09/0.23 % DateTime : Mon Sep 28 20:20:18 UTC 2026
% 0.09/0.23 % CPUTime :
% 0.09/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.29 Running first-order model finding
% 0.09/0.29 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
% 0.64/0.41 % (191289)Will run a generic schedule for satisfiability detection.
% 0.64/0.41 % (191294)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=390335190_2999 on theBenchmark for (2999ds/0Mi)
% 0.64/0.41 % (191295)% WARNING: option uhcvi not known.
% 0.64/0.41 % (191297)dis+10_1_sil=32000:sp=arity:random_seed=997473885:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.64/0.41 % (191298)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2486708181:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.64/0.41 % (191299)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2786935811:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.64/0.41 % (191300)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2584026003:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.64/0.41 % (191295)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=879799991:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.64/0.41 % (191296)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=244272101:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.64/0.41 % TRYING [1]
% 0.64/0.41 % TRYING [2]
% 0.64/0.41 % (191295) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-191289-191295"...
% 0.64/0.41 % (191295)...printing done.
% 0.64/0.41 % (191295)Refutation found. Thanks to Tanya!
% 0.64/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.64/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.64/0.41 % (191295)------------------------------
% 0.64/0.41 % (191295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.41 % (191295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.41 % (191295)CaDiCaL version: 2.1.3
% 0.64/0.41 % (191295)Termination reason: Refutation
% 0.64/0.41 % (191295)Time elapsed: 0.036 s
% 0.64/0.41 % (191295)Peak memory usage: 12 MB
% 0.64/0.41 % (191295)Instructions burned: 31 (million)
% 0.64/0.41 % (191289)Success in time 0.105 s
% 0.64/0.41 % Vampire exiting
%------------------------------------------------------------------------------