%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n004.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 09:19:58 AM UTC 2026
% Result : Unsatisfiable 5.26s 1.79s
% Output : Refutation 5.26s
% 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(f763,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(f765,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,[],[f763,f598]) ).
fof(f766,plain,
v_s____ = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(forward_demodulation,[],[f765,f501]) ).
fof(f767,plain,
$false,
inference(forward_subsumption_resolution,[],[f766,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 THM
% 0.08/0.22 % Computer : n004.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 20:19:52 UTC 2026
% 0.08/0.22 % CPUTime :
% 0.08/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.28 Running first-order theorem proving
% 0.26/0.28 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.26/1.79 % (716621)Input is clausal, will run a generic CNF schedule.
% 5.26/1.79 % (716629)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=252663378:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.26/1.79 % (716631)lrs+10_1_sil=8000:sp=occurrence:random_seed=2271318413:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.26/1.79 % (716631)First to succeed.
% 5.26/1.79 % (716631)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-716621"
% 5.26/1.79 % (716628)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3952571712:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.26/1.79 % (716632)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2687063197:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.26/1.79 % (716633)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=328504029:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.26/1.79 % (716634)dis-21_1_sil=8000:lcm=predicate:random_seed=4239055232:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 5.26/1.79 % (716630)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1803983304:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.26/1.79 % (716632)Also succeeded, but the first one will report.
% 5.26/1.79 % (716633)Also succeeded, but the first one will report.
% 5.26/1.79 % (716634)Instruction limit reached!
% 5.26/1.79 % (716634)------------------------------
% 5.26/1.79 % (716634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.26/1.79 % (716634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.79 % (716634)CaDiCaL version: 2.1.3
% 5.26/1.79 % (716634)Termination reason: Instruction limit
% 5.26/1.79 % (716634)Termination phase: Saturation
% 5.26/1.79 % (716634)Time elapsed: 0.094 s
% 5.26/1.79 % (716634)Peak memory usage: 89 MB
% 5.26/1.79 % (716634)Instructions burned: 117 (million)
% 5.26/1.79 % (716631)Refutation found. Thanks to Tanya!
% 5.26/1.79 % SZS status Unsatisfiable for theBenchmark
% 5.26/1.79 % SZS output start Proof for theBenchmark
% See solution above
% 5.26/1.79 % (716631)------------------------------
% 5.26/1.79 % (716631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.26/1.79 % (716631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.26/1.79 % (716631)CaDiCaL version: 2.1.3
% 5.26/1.79 % (716631)Termination reason: Refutation
% 5.26/1.79 % (716631)Time elapsed: 0.008 s
% 5.26/1.79 % (716631)Peak memory usage: 88 MB
% 5.26/1.79 % (716631)Instructions burned: 5 (million)
% 5.26/1.79 % (716631)------------------------------
% 5.26/1.79 % (716631)------------------------------
% 5.26/1.79 % (716621)Success in time 0.655 s
% 5.26/1.79 % Vampire exiting
%------------------------------------------------------------------------------