%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG434-1 : 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 : n020.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 09:20:00 AM UTC 2026
% Result : Unsatisfiable 0.20s 1.14s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 5 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f517,axiom,
! [X2,X3,X0,X1] :
( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Osmult(X2,X3,X0),tc_Polynomial_Opoly(X0))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
| ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Polynomial_Opoly(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_dvd__smult_0) ).
fof(f521,axiom,
c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pq_0) ).
fof(f525,negated_conjecture,
~ c_Ring__and__Field_Odvd__class_Odvd(v_p,c_Polynomial_Osmult(v_a,v_q,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f533,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1) ).
fof(f815,plain,
( ~ class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(resolution,[],[f517,f525]) ).
fof(f817,plain,
~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(forward_subsumption_resolution,[],[f815,f533]) ).
fof(f822,plain,
$false,
inference(forward_subsumption_resolution,[],[f817,f521]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG434-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n020.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 20:23:50 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 0.20/1.14 % (496102)Input is clausal, will run a generic CNF schedule.
% 0.20/1.14 % (496110)lrs+10_1_sil=8000:sp=occurrence:random_seed=3169508949:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.20/1.14 % (496110)First to succeed.
% 0.20/1.14 % (496110)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-496102"
% 0.20/1.14 % (496112)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4022793985:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.20/1.14 % (496111)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1099505743:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.20/1.14 % (496109)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1052618665:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.20/1.14 % (496107)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=1405276846:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.20/1.14 % (496108)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3789032853:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.20/1.14 % (496113)dis-21_1_sil=8000:lcm=predicate:random_seed=707413600: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)
% 0.20/1.14 % (496111)Also succeeded, but the first one will report.
% 0.20/1.14 % (496113)Instruction limit reached!
% 0.20/1.14 % (496113)------------------------------
% 0.20/1.14 % (496113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.14 % (496113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.14 % (496113)CaDiCaL version: 2.1.3
% 0.20/1.14 % (496113)Termination reason: Instruction limit
% 0.20/1.14 % (496113)Termination phase: Saturation
% 0.20/1.14 % (496113)Time elapsed: 0.069 s
% 0.20/1.14 % (496113)Peak memory usage: 89 MB
% 0.20/1.14 % (496113)Instructions burned: 118 (million)
% 0.20/1.14 % (496112)Instruction limit reached!
% 0.20/1.14 % (496112)------------------------------
% 0.20/1.14 % (496112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.14 % (496112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.14 % (496112)CaDiCaL version: 2.1.3
% 0.20/1.14 % (496112)Termination reason: Instruction limit
% 0.20/1.14 % (496112)Termination phase: Saturation
% 0.20/1.14 % (496112)Time elapsed: 0.101 s
% 0.20/1.14 % (496112)Peak memory usage: 90 MB
% 0.20/1.14 % (496112)Instructions burned: 181 (million)
% 0.20/1.14 % (496110)Refutation found. Thanks to Tanya!
% 0.20/1.14 % SZS status Unsatisfiable for theBenchmark
% 0.20/1.14 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.14 % (496110)------------------------------
% 0.20/1.14 % (496110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.14 % (496110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.14 % (496110)CaDiCaL version: 2.1.3
% 0.20/1.14 % (496110)Termination reason: Refutation
% 0.20/1.14 % (496110)Time elapsed: 0.005 s
% 0.20/1.14 % (496110)Peak memory usage: 89 MB
% 0.20/1.14 % (496110)Instructions burned: 12 (million)
% 0.20/1.14 % (496110)------------------------------
% 0.20/1.14 % (496110)------------------------------
% 0.20/1.14 % (496102)Success in time 0.282 s
% 0.20/1.14 % Vampire exiting
%------------------------------------------------------------------------------