%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG391-1 : 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 : n005.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 09:30:27 AM UTC 2026
% Result : Unsatisfiable 0.21s 0.31s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 3 unt; 0 def)
% Number of atoms : 11 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 11 ( 6 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1407,negated_conjecture,
v_cs____ != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1410,negated_conjecture,
! [X0] :
( c_Polynomial_Opoly(v_cs____,hAPP(v_x,X0),t_a) != c_Polynomial_Opoly(X0,hAPP(v_x,X0),t_a)
| c_Polynomial_Odegree(X0,t_a) != c_Polynomial_Odegree(v_cs____,t_a)
| X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1411,plain,
! [X0] :
( c_Polynomial_Opoly(v_cs____,hAPP(v_x,X0),t_a) != c_Polynomial_Opoly(X0,hAPP(v_x,X0),t_a)
| c_Polynomial_Odegree(X0,t_a) != c_Polynomial_Odegree(v_cs____,t_a)
| c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = X0 ),
inference(reorient_equations,[],[f1410]) ).
fof(f1673,plain,
( c_Polynomial_Odegree(v_cs____,t_a) != c_Polynomial_Odegree(v_cs____,t_a)
| v_cs____ = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
inference(equality_resolution,[],[f1411]) ).
fof(f1674,plain,
v_cs____ = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
inference(trivial_inequality_removal,[],[f1673]) ).
fof(f1675,plain,
$false,
inference(forward_subsumption_resolution,[],[f1674,f1407]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG391-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.18 % Computer : n005.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Mon Sep 28 20:15:01 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.21 Running first-order model finding
% 0.10/0.21 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
% 0.21/0.31 % (1111848)Will run a generic schedule for satisfiability detection.
% 0.21/0.31 % (1111857)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3521032443:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.31 % (1111854)% WARNING: option uhcvi not known.
% 0.21/0.31 % (1111853)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2136254037_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.31 % (1111854)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2982218124:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.31 % (1111855)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2972735328:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.31 % (1111856)dis+10_1_sil=32000:sp=arity:random_seed=1116501388:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.31 % (1111858)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4130042077:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.31 % (1111859)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=966555979:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.31 % (1111856) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1111848-1111856"...
% 0.21/0.31 % (1111854) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1111848-1111854"...
% 0.21/0.31 % (1111856)...printing done.
% 0.21/0.31 % (1111854)...printing done.
% 0.21/0.31 % (1111856)Refutation found. Thanks to Tanya!
% 0.21/0.31 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.31 % (1111856)------------------------------
% 0.21/0.31 % (1111856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.31 % (1111856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.31 % (1111856)CaDiCaL version: 2.1.3
% 0.21/0.31 % (1111856)Termination reason: Refutation
% 0.21/0.31 % (1111856)Time elapsed: 0.011 s
% 0.21/0.31 % (1111856)Peak memory usage: 13 MB
% 0.21/0.31 % (1111856)Instructions burned: 16 (million)
% 0.21/0.31 % (1111848)Success in time 0.082 s
% 0.21/0.31 % Vampire exiting
%------------------------------------------------------------------------------