%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV824-1 : 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 01:19:35 PM UTC 2026
% Result : Unsatisfiable 2.77s 1.15s
% Output : Refutation 2.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 9 ( 5 unt; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f749,axiom,
! [X2,X3,X0,X1] :
( c_Natural_Oevaln(X0,X1,c_Suc(X2),X3)
| ~ c_Natural_Oevaln(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln__Suc_0) ).
fof(f794,negated_conjecture,
v_fun1(v_x,v_xa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f795,negated_conjecture,
c_Natural_Oevaln(v_com,v_xa,v_n,v_xb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f796,negated_conjecture,
~ v_fun2(v_x,v_xb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f797,negated_conjecture,
! [X2,X0,X1] :
( ~ c_Natural_Oevaln(v_com,X2,c_Suc(v_n),X1)
| v_fun2(X0,X1)
| ~ v_fun1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1564,plain,
! [X2,X0,X1] :
( ~ c_Natural_Oevaln(v_com,X0,v_n,X1)
| v_fun2(X2,X1)
| ~ v_fun1(X2,X0) ),
inference(resolution,[],[f749,f797]) ).
fof(f1567,plain,
! [X0] :
( v_fun2(X0,v_xb)
| ~ v_fun1(X0,v_xa) ),
inference(resolution,[],[f1564,f795]) ).
fof(f1580,plain,
~ v_fun1(v_x,v_xa),
inference(resolution,[],[f1567,f796]) ).
fof(f1581,plain,
$false,
inference(forward_subsumption_resolution,[],[f1580,f794]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV824-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.17 % Computer : n004.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Mon Sep 28 12:39:22 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 Running first-order theorem proving
% 0.10/0.20 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
% 2.77/1.15 % (325845)Input is clausal, will run a generic CNF schedule.
% 2.77/1.15 % (325854)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2811752767:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.77/1.15 % (325854)First to succeed.
% 2.77/1.15 % (325854)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-325845"
% 2.77/1.15 % (325852)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2493600841:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.77/1.15 % (325851)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3352709339:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.77/1.15 % (325850)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=689326144:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.77/1.15 % (325853)lrs+10_1_sil=8000:sp=occurrence:random_seed=1989840328:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.77/1.15 % (325856)dis-21_1_sil=8000:lcm=predicate:random_seed=1491643464: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)
% 2.77/1.15 % (325853)Also succeeded, but the first one will report.
% 2.77/1.15 % (325855)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=424473599:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.77/1.15 % (325856)Also succeeded, but the first one will report.
% 2.77/1.15 % (325855)Also succeeded, but the first one will report.
% 2.77/1.15 % (325854)Refutation found. Thanks to Tanya!
% 2.77/1.15 % SZS status Unsatisfiable for theBenchmark
% 2.77/1.15 % SZS output start Proof for theBenchmark
% See solution above
% 2.77/1.15 % (325854)------------------------------
% 2.77/1.15 % (325854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/1.15 % (325854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/1.15 % (325854)CaDiCaL version: 2.1.3
% 2.77/1.15 % (325854)Termination reason: Refutation
% 2.77/1.15 % (325854)Time elapsed: 0.012 s
% 2.77/1.15 % (325854)Peak memory usage: 89 MB
% 2.77/1.15 % (325854)Instructions burned: 31 (million)
% 2.77/1.15 % (325854)------------------------------
% 2.77/1.15 % (325854)------------------------------
% 2.77/1.15 % (325845)Success in time 0.32 s
% 2.77/1.16 % Vampire exiting
%------------------------------------------------------------------------------