%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN566-1 : 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 : 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 02:00:58 PM UTC 2026
% Result : Unsatisfiable 2.81s 1.19s
% Output : Refutation 2.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 29 ( 14 unt; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 52 ( 28 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-1 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_2) ).
fof(f3,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_3) ).
fof(f4,negated_conjecture,
! [X0] : p7(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_4) ).
fof(f5,negated_conjecture,
p10(c15,c11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_5) ).
fof(f6,negated_conjecture,
p8(c12,c13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_6) ).
fof(f7,negated_conjecture,
p2(c14,f6(c15)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_7) ).
fof(f8,negated_conjecture,
p3(c13,f4(c14)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_8) ).
fof(f9,negated_conjecture,
! [X0,X1] :
( p3(f4(X0),f4(X1))
| ~ p2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_9) ).
fof(f14,negated_conjecture,
! [X2,X0,X1] :
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_14) ).
fof(f16,negated_conjecture,
! [X0,X1] :
( ~ p8(X0,f4(f6(X1)))
| p8(X0,f4(f5(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_16) ).
fof(f18,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p8(X2,X3)
| ~ p7(X2,X0)
| p8(X0,X1)
| ~ p3(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_18) ).
fof(f19,negated_conjecture,
! [X2,X0,X1] :
( ~ p3(X1,f4(X2))
| ~ p8(c12,X1)
| ~ p10(X0,c11)
| ~ p2(X2,f5(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p10_19) ).
fof(f30,plain,
! [X0,X1] :
( ~ p3(X0,X1)
| p3(X1,X0) ),
inference(resolution,[],[f14,f3]) ).
fof(f32,plain,
! [X2,X0,X1] :
( ~ p3(f4(X0),X1)
| p3(X1,f4(X2))
| ~ p2(X0,X2) ),
inference(resolution,[],[f14,f9]) ).
fof(f37,plain,
p3(f4(c14),c13),
inference(resolution,[],[f30,f8]) ).
fof(f40,plain,
! [X0] :
( ~ p3(f4(c14),X0)
| p3(X0,c13) ),
inference(resolution,[],[f37,f14]) ).
fof(f43,plain,
! [X0,X1] :
( ~ p7(c12,X0)
| p8(X0,X1)
| ~ p3(c13,X1) ),
inference(resolution,[],[f18,f6]) ).
fof(f46,plain,
! [X0,X1] :
( ~ p8(c12,f4(X0))
| ~ p10(X1,c11)
| ~ p2(X0,f5(X1)) ),
inference(resolution,[],[f19,f3]) ).
fof(f65,plain,
! [X0] :
( ~ p3(c13,X0)
| p8(c12,X0) ),
inference(resolution,[],[f43,f4]) ).
fof(f80,plain,
! [X2,X0,X1] :
( ~ p2(X2,X1)
| p3(f4(X0),f4(X1))
| ~ p2(X2,X0) ),
inference(resolution,[],[f32,f9]) ).
fof(f173,plain,
! [X0] :
( p3(f4(X0),f4(f6(c15)))
| ~ p2(c14,X0) ),
inference(resolution,[],[f80,f7]) ).
fof(f244,plain,
( ~ p2(c14,c14)
| p3(f4(f6(c15)),c13) ),
inference(resolution,[],[f173,f40]) ).
fof(f249,plain,
p3(f4(f6(c15)),c13),
inference(forward_subsumption_resolution,[],[f244,f2]) ).
fof(f258,plain,
p3(c13,f4(f6(c15))),
inference(resolution,[],[f249,f30]) ).
fof(f267,plain,
p8(c12,f4(f6(c15))),
inference(resolution,[],[f258,f65]) ).
fof(f283,plain,
p8(c12,f4(f5(c15))),
inference(resolution,[],[f267,f16]) ).
fof(f298,plain,
! [X0] :
( ~ p2(f5(c15),f5(X0))
| ~ p10(X0,c11) ),
inference(resolution,[],[f283,f46]) ).
fof(f571,plain,
~ p10(c15,c11),
inference(resolution,[],[f298,f2]) ).
fof(f572,plain,
$false,
inference(forward_subsumption_resolution,[],[f571,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN566-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.19 % Computer : n001.cluster.edu
% 0.12/0.19 % Model : x86_64 x86_64
% 0.12/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.19 % Memory : 8046.5625MB
% 0.12/0.19 % OS : Linux 6.8.0-71-generic
% 0.12/0.19 % CPULimit : 300
% 0.12/0.19 % WCLimit : 300
% 0.12/0.19 % DateTime : Mon Sep 28 16:35:03 UTC 2026
% 0.12/0.19 % CPUTime :
% 0.12/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.23 Running first-order theorem proving
% 0.12/0.23 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
% 2.81/1.19 % (473630)Input is clausal, will run a generic CNF schedule.
% 2.81/1.19 % (473671)lrs+10_1_sil=8000:sp=occurrence:random_seed=89247729:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.81/1.19 % (473671)First to succeed.
% 2.81/1.19 % (473671)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-473630"
% 2.81/1.19 % (473669)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3039570049:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.81/1.19 % (473668)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1355179735:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.81/1.19 % (473666)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=1266418717:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.81/1.19 % (473676)dis-21_1_sil=8000:lcm=predicate:random_seed=2549214308: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)
% 2.81/1.19 % (473674)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=730492172:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.81/1.19 % (473673)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=826544975:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.81/1.19 % (473674)Also succeeded, but the first one will report.
% 2.81/1.19 % (473673)Also succeeded, but the first one will report.
% 2.81/1.19 % (473676)Instruction limit reached!
% 2.81/1.19 % (473676)------------------------------
% 2.81/1.19 % (473676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.81/1.19 % (473676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/1.19 % (473676)CaDiCaL version: 2.1.3
% 2.81/1.19 % (473676)Termination reason: Instruction limit
% 2.81/1.19 % (473676)Termination phase: Saturation
% 2.81/1.19 % (473676)Time elapsed: 0.071 s
% 2.81/1.19 % (473676)Peak memory usage: 88 MB
% 2.81/1.19 % (473676)Instructions burned: 119 (million)
% 2.81/1.19 % (473671)Refutation found. Thanks to Tanya!
% 2.81/1.19 % SZS status Unsatisfiable for theBenchmark
% 2.81/1.19 % SZS output start Proof for theBenchmark
% See solution above
% 2.81/1.19 % (473671)------------------------------
% 2.81/1.19 % (473671)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.81/1.19 % (473671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/1.19 % (473671)CaDiCaL version: 2.1.3
% 2.81/1.19 % (473671)Termination reason: Refutation
% 2.81/1.19 % (473671)Time elapsed: 0.007 s
% 2.81/1.19 % (473671)Peak memory usage: 88 MB
% 2.81/1.19 % (473671)Instructions burned: 18 (million)
% 2.81/1.19 % (473671)------------------------------
% 2.81/1.19 % (473671)------------------------------
% 2.81/1.19 % (473630)Success in time 0.314 s
% 2.81/1.19 % Vampire exiting
%------------------------------------------------------------------------------