%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV897-1 : 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 : n001.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 01:19:44 PM UTC 2026
% Result : Unsatisfiable 2.61s 0.85s
% Output : Refutation 2.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of formulae : 5 ( 4 unt; 0 def)
% Number of atoms : 6 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 3 ( 2 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 3 ( 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f498,axiom,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X0))),X1),X2))
| hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,X0)),X1),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evalc_OBody_0) ).
fof(f533,negated_conjecture,
hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_x),v_xa)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f534,negated_conjecture,
~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,v_pn)),v_x),v_xa)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3181,plain,
hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,v_pn)),v_x),v_xa)),
inference(resolution,[],[f498,f533]) ).
fof(f3182,plain,
$false,
inference(resolution,[],[f3181,f534]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV897-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.18 % Computer : n001.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Mon Sep 28 12:58:18 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.21 Running first-order theorem proving
% 0.06/0.21 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
% 2.61/0.85 % (327802)Input is clausal, will run a generic CNF schedule.
% 2.61/0.85 % (327813)dis-21_1_sil=8000:lcm=predicate:random_seed=232844655: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)
% 2.61/0.85 % (327813)First to succeed.
% 2.61/0.85 % (327813)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-327802"
% 2.61/0.85 % (327811)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=76705754:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.61/0.85 % (327807)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=1164586145:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.61/0.85 % (327812)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4183357955:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.61/0.85 % (327810)lrs+10_1_sil=8000:sp=occurrence:random_seed=3861664587:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.61/0.85 % (327808)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4227920656:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.61/0.85 % (327809)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1542165503:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.61/0.85 % (327812)Also succeeded, but the first one will report.
% 2.61/0.85 % (327810)Instruction limit reached!
% 2.61/0.85 % (327810)------------------------------
% 2.61/0.85 % (327810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.61/0.85 % (327810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.85 % (327810)CaDiCaL version: 2.1.3
% 2.61/0.85 % (327810)Termination reason: Instruction limit
% 2.61/0.85 % (327810)Termination phase: Saturation
% 2.61/0.85 % (327810)Time elapsed: 0.072 s
% 2.61/0.85 % (327810)Peak memory usage: 89 MB
% 2.61/0.85 % (327810)Instructions burned: 108 (million)
% 2.61/0.85 % (327811)Instruction limit reached!
% 2.61/0.85 % (327811)------------------------------
% 2.61/0.85 % (327811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.61/0.85 % (327811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.85 % (327811)CaDiCaL version: 2.1.3
% 2.61/0.85 % (327811)Termination reason: Instruction limit
% 2.61/0.85 % (327811)Termination phase: Saturation
% 2.61/0.85 % (327811)Time elapsed: 0.076 s
% 2.61/0.85 % (327811)Peak memory usage: 88 MB
% 2.61/0.85 % (327811)Instructions burned: 114 (million)
% 2.61/0.85 % (327813)Refutation found. Thanks to Tanya!
% 2.61/0.85 % SZS status Unsatisfiable for theBenchmark
% 2.61/0.85 % SZS output start Proof for theBenchmark
% See solution above
% 2.61/0.85 % (327813)------------------------------
% 2.61/0.85 % (327813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.61/0.85 % (327813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/0.85 % (327813)CaDiCaL version: 2.1.3
% 2.61/0.85 % (327813)Termination reason: Refutation
% 2.61/0.85 % (327813)Time elapsed: 0.029 s
% 2.61/0.85 % (327813)Peak memory usage: 89 MB
% 2.61/0.85 % (327813)Instructions burned: 90 (million)
% 2.61/0.85 % (327813)------------------------------
% 2.61/0.85 % (327813)------------------------------
% 2.61/0.85 % (327802)Success in time 0.332 s
% 2.61/0.85 % Vampire exiting
%------------------------------------------------------------------------------