%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV824-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 01:26:29 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.28s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 6 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 7 ~; 8 |; 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 : 16 ( 16 !; 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/sandbox/benchmark/theBenchmark.p',cls_evaln__Suc_0) ).
fof(f794,negated_conjecture,
v_fun1(v_x,v_xa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f795,negated_conjecture,
c_Natural_Oevaln(v_com,v_xa,v_n,v_xb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f796,negated_conjecture,
~ v_fun2(v_x,v_xb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f797,negated_conjecture,
! [X2,X0,X1] :
( v_fun2(X0,X1)
| ~ c_Natural_Oevaln(v_com,X2,c_Suc(v_n),X1)
| ~ v_fun1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f921,plain,
! [X2,X3,X0,X1] :
( ~ c_Natural_Oevaln(X0,X1,c_Suc(X2),X3)
| c_Natural_Oevaln(X0,X1,X2,X3) ),
inference(consistent_polarity_flipping,[],[f749]) ).
fof(f929,plain,
~ c_Natural_Oevaln(v_com,v_xa,v_n,v_xb),
inference(consistent_polarity_flipping,[],[f795]) ).
fof(f930,plain,
! [X2,X0,X1] :
( ~ v_fun1(X0,X2)
| c_Natural_Oevaln(v_com,X2,c_Suc(v_n),X1)
| v_fun2(X0,X1) ),
inference(consistent_polarity_flipping,[],[f797]) ).
fof(f948,plain,
! [X0] :
( c_Natural_Oevaln(v_com,v_xa,c_Suc(v_n),X0)
| v_fun2(v_x,X0) ),
inference(resolution,[],[f930,f794]) ).
fof(f1899,plain,
! [X0] :
( c_Natural_Oevaln(v_com,v_xa,v_n,X0)
| v_fun2(v_x,X0) ),
inference(resolution,[],[f921,f948]) ).
fof(f1905,plain,
v_fun2(v_x,v_xb),
inference(resolution,[],[f1899,f929]) ).
fof(f1906,plain,
$false,
inference(forward_subsumption_resolution,[],[f1905,f796]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV824-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 % Computer : n017.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 12:34:51 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.21 Running first-order model finding
% 0.10/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.28 % (3514693)Will run a generic schedule for satisfiability detection.
% 0.21/0.28 % (3514699)% WARNING: option uhcvi not known.
% 0.21/0.28 % (3514699)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=413717139:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.28 % (3514698)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1263520508_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.28 % (3514700)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=933570652:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.28 % (3514701)dis+10_1_sil=32000:sp=arity:random_seed=443490633:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.28 % (3514702)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1421271436:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.28 % (3514703)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2481744297:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.28 % (3514704)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3804607305:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.28 % (3514699) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3514693-3514699"...
% 0.21/0.28 % (3514699)...printing done.
% 0.21/0.28 % (3514699)Refutation found. Thanks to Tanya!
% 0.21/0.28 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.28 % (3514699)------------------------------
% 0.21/0.28 % (3514699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28 % (3514699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28 % (3514699)CaDiCaL version: 2.1.3
% 0.21/0.28 % (3514699)Termination reason: Refutation
% 0.21/0.28 % (3514699)Time elapsed: 0.017 s
% 0.21/0.28 % (3514699)Peak memory usage: 12 MB
% 0.21/0.28 % (3514699)Instructions burned: 45 (million)
% 0.21/0.28 % (3514693)Success in time 0.061 s
% 0.21/0.28 % Vampire exiting
%------------------------------------------------------------------------------