%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN659-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 02:01:11 PM UTC 2026
% Result : Unsatisfiable 2.91s 1.16s
% Output : Refutation 2.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 48 ( 28 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
! [X0] : p7(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_3) ).
fof(f9,negated_conjecture,
! [X0] : p14(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_9) ).
fof(f10,negated_conjecture,
! [X0] : p12(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_10) ).
fof(f27,negated_conjecture,
p24(f15(c29,f13(c40,c41)),f13(c32,c33)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24_27) ).
fof(f29,negated_conjecture,
p12(f13(f16(c39),f17(c39)),f13(c40,c41)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_29) ).
fof(f37,negated_conjecture,
! [X2,X0,X1] :
( p14(X0,X1)
| ~ p14(X2,X0)
| ~ p14(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_37) ).
fof(f39,negated_conjecture,
~ p24(f15(c29,f13(f16(c39),f17(c39))),f13(c32,c33)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p24_39) ).
fof(f41,negated_conjecture,
! [X2,X3,X0,X1] :
( p24(X0,X1)
| ~ p14(X2,X0)
| ~ p24(X2,X3)
| ~ p12(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24_41) ).
fof(f45,negated_conjecture,
! [X2,X3,X0,X1] :
( p14(f15(X0,X1),f15(X2,X3))
| ~ p12(X1,X3)
| ~ p7(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_45) ).
fof(f62,plain,
! [X0,X1] :
( ~ p14(X0,f15(c29,f13(f16(c39),f17(c39))))
| ~ p24(X0,X1)
| ~ p12(X1,f13(c32,c33)) ),
inference(resolution,[],[f41,f39]) ).
fof(f128,plain,
! [X2,X0,X1] :
( ~ p14(X2,f15(c29,f13(f16(c39),f17(c39))))
| ~ p12(X1,f13(c32,c33))
| ~ p14(X2,X0)
| ~ p24(X0,X1) ),
inference(resolution,[],[f62,f37]) ).
fof(f181,plain,
! [X0,X1] :
( ~ p14(f15(c29,f13(f16(c39),f17(c39))),X1)
| ~ p12(X0,f13(c32,c33))
| ~ p24(X1,X0) ),
inference(resolution,[],[f128,f9]) ).
fof(f309,plain,
! [X2,X0,X1] :
( ~ p12(f13(f16(c39),f17(c39)),X2)
| ~ p24(f15(X1,X2),X0)
| ~ p12(X0,f13(c32,c33))
| ~ p7(c29,X1) ),
inference(resolution,[],[f181,f45]) ).
fof(f702,plain,
! [X0,X1] :
( ~ p24(f15(X0,f13(c40,c41)),X1)
| ~ p12(X1,f13(c32,c33))
| ~ p7(c29,X0) ),
inference(resolution,[],[f309,f29]) ).
fof(f1376,plain,
( ~ p12(f13(c32,c33),f13(c32,c33))
| ~ p7(c29,c29) ),
inference(resolution,[],[f702,f27]) ).
fof(f1378,plain,
~ p7(c29,c29),
inference(forward_subsumption_resolution,[],[f1376,f10]) ).
fof(f1379,plain,
$false,
inference(forward_subsumption_resolution,[],[f1378,f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN659-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n003.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 16:42:12 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
% 2.91/1.16 % (1739929)Input is clausal, will run a generic CNF schedule.
% 2.91/1.16 % (1739938)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=891436816:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.91/1.16 % (1739938)First to succeed.
% 2.91/1.16 % (1739938)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1739929"
% 2.91/1.16 % (1739939)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=859860954:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.91/1.16 % (1739936)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4073594106:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.91/1.16 % (1739935)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=683065096:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.91/1.16 % (1739934)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=1737082541:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.91/1.16 % (1739937)lrs+10_1_sil=8000:sp=occurrence:random_seed=4204108611:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.91/1.16 % (1739940)dis-21_1_sil=8000:lcm=predicate:random_seed=2824542138: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)
% 2.91/1.16 % (1739939)Also succeeded, but the first one will report.
% 2.91/1.16 % (1739937)Instruction limit reached!
% 2.91/1.16 % (1739937)------------------------------
% 2.91/1.16 % (1739937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.91/1.16 % (1739937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/1.16 % (1739937)CaDiCaL version: 2.1.3
% 2.91/1.16 % (1739937)Termination reason: Instruction limit
% 2.91/1.16 % (1739937)Termination phase: Saturation
% 2.91/1.16 % (1739937)Time elapsed: 0.068 s
% 2.91/1.16 % (1739937)Peak memory usage: 89 MB
% 2.91/1.16 % (1739937)Instructions burned: 107 (million)
% 2.91/1.16 % (1739940)Instruction limit reached!
% 2.91/1.16 % (1739940)------------------------------
% 2.91/1.16 % (1739940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.91/1.16 % (1739940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/1.16 % (1739940)CaDiCaL version: 2.1.3
% 2.91/1.16 % (1739940)Termination reason: Instruction limit
% 2.91/1.16 % (1739940)Termination phase: Saturation
% 2.91/1.16 % (1739940)Time elapsed: 0.074 s
% 2.91/1.16 % (1739940)Peak memory usage: 88 MB
% 2.91/1.16 % (1739940)Instructions burned: 117 (million)
% 2.91/1.16 % (1739938)Refutation found. Thanks to Tanya!
% 2.91/1.16 % SZS status Unsatisfiable for theBenchmark
% 2.91/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 2.91/1.16 % (1739938)------------------------------
% 2.91/1.16 % (1739938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.91/1.16 % (1739938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/1.16 % (1739938)CaDiCaL version: 2.1.3
% 2.91/1.16 % (1739938)Termination reason: Refutation
% 2.91/1.16 % (1739938)Time elapsed: 0.021 s
% 2.91/1.16 % (1739938)Peak memory usage: 89 MB
% 2.91/1.16 % (1739938)Instructions burned: 53 (million)
% 2.91/1.16 % (1739938)------------------------------
% 2.91/1.16 % (1739938)------------------------------
% 2.91/1.16 % (1739929)Success in time 0.32 s
% 2.91/1.16 % Vampire exiting
%------------------------------------------------------------------------------