%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG396-1 : 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 : n009.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 09:19:56 AM UTC 2026
% Result : Unsatisfiable 3.79s 1.36s
% Output : Refutation 3.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 2
% Syntax : Number of formulae : 3 ( 3 unt; 0 def)
% Number of atoms : 3 ( 2 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-3 aty)
% Number of variables : 1 ( 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f790,axiom,
! [X0] : c_Polynomial_Opoly(v_q____,c_HOL_Ominus__class_Ominus(X0,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_pa____,X0,tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_th_0) ).
fof(f846,negated_conjecture,
c_Polynomial_Opoly(v_pa____,v_x____,tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q____,c_HOL_Ominus__class_Ominus(v_x____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1021,plain,
$false,
inference(forward_subsumption_resolution,[],[f846,f790]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG396-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.21 % Computer : n009.cluster.edu
% 0.11/0.21 % Model : x86_64 x86_64
% 0.11/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.21 % Memory : 8046.5625MB
% 0.11/0.21 % OS : Linux 6.8.0-71-generic
% 0.11/0.21 % CPULimit : 300
% 0.11/0.21 % WCLimit : 300
% 0.11/0.21 % DateTime : Mon Sep 28 20:16:45 UTC 2026
% 0.11/0.22 % CPUTime :
% 0.11/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.25 Running first-order theorem proving
% 0.11/0.25 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
% 3.79/1.36 % (3414907)Input is clausal, will run a generic CNF schedule.
% 3.79/1.36 % (3414918)dis-21_1_sil=8000:lcm=predicate:random_seed=844955440: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)
% 3.79/1.36 % (3414918)Instruction limit reached!
% 3.79/1.36 % (3414918)------------------------------
% 3.79/1.36 % (3414918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.79/1.36 % (3414918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.36 % (3414918)CaDiCaL version: 2.1.3
% 3.79/1.36 % (3414918)Termination reason: Instruction limit
% 3.79/1.36 % (3414918)Termination phase: Saturation
% 3.79/1.36 % (3414918)Time elapsed: 0.038 s
% 3.79/1.36 % (3414918)Peak memory usage: 89 MB
% 3.79/1.36 % (3414918)Instructions burned: 120 (million)
% 3.79/1.36 % (3414913)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1081474966:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.79/1.36 % (3414915)lrs+10_1_sil=8000:sp=occurrence:random_seed=365000490:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.79/1.36 % (3414912)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=1574408538:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.79/1.36 % (3414916)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3666881403:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.79/1.36 % (3414914)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=459714997:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.79/1.36 % (3414917)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3037786663:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.79/1.36 % (3414915)First to succeed.
% 3.79/1.36 % (3414915)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3414907"
% 3.79/1.36 % (3414917)Also succeeded, but the first one will report.
% 3.79/1.36 % (3414916)Also succeeded, but the first one will report.
% 3.79/1.36 % (3414926)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3854809730:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.79/1.36 % (3414926)Also succeeded, but the first one will report.
% 3.79/1.36 % (3414915)Refutation found. Thanks to Tanya!
% 3.79/1.36 % SZS status Unsatisfiable for theBenchmark
% 3.79/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 3.79/1.36 % (3414915)------------------------------
% 3.79/1.36 % (3414915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.79/1.36 % (3414915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.36 % (3414915)CaDiCaL version: 2.1.3
% 3.79/1.36 % (3414915)Termination reason: Refutation
% 3.79/1.36 % (3414915)Time elapsed: 0.008 s
% 3.79/1.36 % (3414915)Peak memory usage: 89 MB
% 3.79/1.36 % (3414915)Instructions burned: 11 (million)
% 3.79/1.36 % (3414915)------------------------------
% 3.79/1.36 % (3414915)------------------------------
% 3.79/1.36 % (3414907)Success in time 0.474 s
% 3.79/1.36 % Vampire exiting
%------------------------------------------------------------------------------