%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN033-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 01:49:01 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.90s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 8 ( 5 unt; 0 def)
% Number of atoms : 14 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 16 ( 10 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 0 con; 1-2 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : p(g(X0,X1),X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f2,axiom,
! [X0,X1] : p(X0,h(X0,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f3,axiom,
! [X2,X3,X0,X1,X4,X5] :
( p(X5,X4,X2)
| ~ p(X3,X4,X1)
| ~ p(X0,X3,X5)
| ~ p(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f4,negated_conjecture,
! [X0] : ~ p(k(X0),X0,k(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_something) ).
fof(f5,plain,
! [X2,X3,X0,X1] :
( ~ p(X3,X0,k(X1))
| ~ p(X0,X1,X2)
| ~ p(X3,X2,k(X1)) ),
inference(resolution,[],[f3,f4]) ).
fof(f10,plain,
! [X2,X0,X1] :
( ~ p(X1,X2,X1)
| ~ p(X0,X1,k(X2)) ),
inference(factoring,[],[f5]) ).
fof(f11,plain,
! [X0,X1] : ~ p(X0,X1,k(h(X1,X1))),
inference(resolution,[],[f10,f2]) ).
fof(f13,plain,
$false,
inference(resolution,[],[f11,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN033-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n016.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 15:25:18 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 0.19/0.90 % (3705213)Input is clausal, will run a generic CNF schedule.
% 0.19/0.90 % (3705223)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3132401549:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.19/0.90 % (3705223)First to succeed.
% 0.19/0.90 % (3705223)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3705213"
% 0.19/0.90 % (3705222)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2153612569:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.19/0.90 % (3705224)dis-21_1_sil=8000:lcm=predicate:random_seed=3632117858: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)
% 0.19/0.90 % (3705219)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1103700350:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.19/0.90 % (3705221)lrs+10_1_sil=8000:sp=occurrence:random_seed=3177982688:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.19/0.90 % (3705218)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=2880933706:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.19/0.90 % (3705220)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4197545471:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.19/0.90 % (3705221)Also succeeded, but the first one will report.
% 0.19/0.90 % (3705224)Also succeeded, but the first one will report.
% 0.19/0.90 % (3705222)Instruction limit reached!
% 0.19/0.90 % (3705222)------------------------------
% 0.19/0.90 % (3705222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/0.90 % (3705222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.90 % (3705222)CaDiCaL version: 2.1.3
% 0.19/0.90 % (3705222)Termination reason: Instruction limit
% 0.19/0.90 % (3705222)Termination phase: Saturation
% 0.19/0.90 % (3705222)Time elapsed: 0.060 s
% 0.19/0.90 % (3705222)Peak memory usage: 87 MB
% 0.19/0.90 % (3705222)Instructions burned: 116 (million)
% 0.19/0.90 % (3705223)Refutation found. Thanks to Tanya!
% 0.19/0.90 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.90 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.90 % (3705223)------------------------------
% 0.19/0.90 % (3705223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/0.90 % (3705223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.90 % (3705223)CaDiCaL version: 2.1.3
% 0.19/0.90 % (3705223)Termination reason: Refutation
% 0.19/0.90 % (3705223)Time elapsed: 0.001 s
% 0.19/0.90 % (3705223)Peak memory usage: 88 MB
% 0.19/0.90 % (3705223)------------------------------
% 0.19/0.90 % (3705223)------------------------------
% 0.19/0.90 % (3705213)Success in time 0.283 s
% 0.19/0.90 % Vampire exiting
%------------------------------------------------------------------------------