%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV861-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 01:19:40 PM UTC 2026
% Result : Unsatisfiable 2.73s 1.10s
% Output : Refutation 2.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 11 ( 6 unt; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 13 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f630,negated_conjecture,
hBOOL(hAPP(hAPP(v_P,v_Z),v_s)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f631,negated_conjecture,
c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f632,negated_conjecture,
c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f633,negated_conjecture,
~ hBOOL(hAPP(hAPP(v_R,v_Z),v_s_H)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f635,negated_conjecture,
! [X2,X0,X1] :
( hBOOL(hAPP(hAPP(v_Q,X0),X1))
| ~ c_Natural_Oevaln(v_c,X2,v_n,X1)
| ~ hBOOL(hAPP(hAPP(v_P,X0),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f636,negated_conjecture,
! [X2,X0,X1] :
( hBOOL(hAPP(hAPP(v_R,X0),X1))
| ~ c_Natural_Oevaln(v_d,X2,v_n,X1)
| ~ hBOOL(hAPP(hAPP(v_Q,X0),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f685,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(v_Q,v_Z),X0))
| ~ c_Natural_Oevaln(v_d,X0,v_n,v_s_H) ),
inference(resolution,[],[f636,f633]) ).
fof(f686,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(v_P,v_Z),X1))
| ~ c_Natural_Oevaln(v_c,X1,v_n,X0)
| ~ c_Natural_Oevaln(v_d,X0,v_n,v_s_H) ),
inference(resolution,[],[f685,f635]) ).
fof(f687,plain,
! [X0] :
( ~ c_Natural_Oevaln(v_d,X0,v_n,v_s_H)
| ~ c_Natural_Oevaln(v_c,v_s,v_n,X0) ),
inference(resolution,[],[f686,f630]) ).
fof(f688,plain,
~ c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
inference(resolution,[],[f687,f632]) ).
fof(f689,plain,
$false,
inference(forward_subsumption_resolution,[],[f688,f631]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV861-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n002.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 12:47:37 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.73/1.10 % (329899)Input is clausal, will run a generic CNF schedule.
% 2.73/1.10 % (329908)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=699766782:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.73/1.10 % (329908)First to succeed.
% 2.73/1.10 % (329908)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-329899"
% 2.73/1.10 % (329906)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3154880001:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.73/1.10 % (329904)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=353227061:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.73/1.10 % (329907)lrs+10_1_sil=8000:sp=occurrence:random_seed=1462675134:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.73/1.10 % (329905)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=931704049:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.73/1.10 % (329907)Also succeeded, but the first one will report.
% 2.73/1.10 % (329909)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=258040964:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.73/1.10 % (329910)dis-21_1_sil=8000:lcm=predicate:random_seed=1653538482: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)
% 2.73/1.10 % (329909)Also succeeded, but the first one will report.
% 2.73/1.10 % (329910)Also succeeded, but the first one will report.
% 2.73/1.10 % (329908)Refutation found. Thanks to Tanya!
% 2.73/1.10 % SZS status Unsatisfiable for theBenchmark
% 2.73/1.10 % SZS output start Proof for theBenchmark
% See solution above
% 2.73/1.10 % (329908)------------------------------
% 2.73/1.10 % (329908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.10 % (329908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.10 % (329908)CaDiCaL version: 2.1.3
% 2.73/1.10 % (329908)Termination reason: Refutation
% 2.73/1.10 % (329908)Time elapsed: 0.006 s
% 2.73/1.10 % (329908)Peak memory usage: 88 MB
% 2.73/1.10 % (329908)Instructions burned: 20 (million)
% 2.73/1.10 % (329908)------------------------------
% 2.73/1.10 % (329908)------------------------------
% 2.73/1.10 % (329899)Success in time 0.334 s
% 2.73/1.10 % Vampire exiting
%------------------------------------------------------------------------------