%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV860-1 : 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 2.52s 1.04s
% Output : Refutation 2.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 6 unt; 0 def)
% Number of atoms : 8 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 4 ( 3 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 3 ( 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f559,axiom,
! [X2,X0,X1] :
( ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evaln__elim__cases_I1_J_0) ).
fof(f560,negated_conjecture,
hBOOL(hAPP(hAPP(v_P,v_x),v_xa)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f561,negated_conjecture,
c_Natural_Oevaln(c_Com_Ocom_OSKIP,v_xa,v_n,v_xb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f562,negated_conjecture,
~ hBOOL(hAPP(hAPP(v_P,v_x),v_xb)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f604,plain,
v_xa = v_xb,
inference(resolution,[],[f559,f561]) ).
fof(f606,plain,
~ hBOOL(hAPP(hAPP(v_P,v_x),v_xa)),
inference(superposition,[],[f562,f604]) ).
fof(f608,plain,
$false,
inference(forward_subsumption_resolution,[],[f606,f560]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV860-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n002.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 12:47:22 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 2.52/1.04 % (329483)Input is clausal, will run a generic CNF schedule.
% 2.52/1.04 % (329492)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=857634109:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.52/1.04 % (329492)First to succeed.
% 2.52/1.04 % (329492)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-329483"
% 2.52/1.04 % (329491)lrs+10_1_sil=8000:sp=occurrence:random_seed=4020349610:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.52/1.04 % (329491)Also succeeded, but the first one will report.
% 2.52/1.04 % (329493)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=620559069:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.52/1.04 % (329489)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=924104403:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.52/1.04 % (329488)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=3571708737:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.52/1.04 % (329490)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2012945240:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.52/1.04 % (329494)dis-21_1_sil=8000:lcm=predicate:random_seed=1091184715: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)
% 2.52/1.04 % (329493)Also succeeded, but the first one will report.
% 2.52/1.04 % (329494)Instruction limit reached!
% 2.52/1.04 % (329494)------------------------------
% 2.52/1.04 % (329494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.52/1.04 % (329494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/1.04 % (329494)CaDiCaL version: 2.1.3
% 2.52/1.04 % (329494)Termination reason: Instruction limit
% 2.52/1.04 % (329494)Termination phase: Saturation
% 2.52/1.04 % (329494)Time elapsed: 0.069 s
% 2.52/1.04 % (329494)Peak memory usage: 89 MB
% 2.52/1.04 % (329494)Instructions burned: 117 (million)
% 2.52/1.04 % (329492)Refutation found. Thanks to Tanya!
% 2.52/1.04 % SZS status Unsatisfiable for theBenchmark
% 2.52/1.04 % SZS output start Proof for theBenchmark
% See solution above
% 2.52/1.04 % (329492)------------------------------
% 2.52/1.04 % (329492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.52/1.04 % (329492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/1.04 % (329492)CaDiCaL version: 2.1.3
% 2.52/1.04 % (329492)Termination reason: Refutation
% 2.52/1.04 % (329492)Time elapsed: 0.005 s
% 2.52/1.04 % (329492)Peak memory usage: 88 MB
% 2.52/1.04 % (329492)Instructions burned: 13 (million)
% 2.52/1.04 % (329492)------------------------------
% 2.52/1.04 % (329492)------------------------------
% 2.52/1.04 % (329483)Success in time 0.294 s
% 2.52/1.04 % Vampire exiting
%------------------------------------------------------------------------------