%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN600-1 : 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 : n013.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 02:01:03 PM UTC 2026
% Result : Unsatisfiable 2.65s 1.14s
% Output : Refutation 2.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 27 ( 10 unt; 0 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 107 ( 57 ~; 50 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 12 ( 3 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 3 con; 0-2 aty)
% Number of variables : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
p19(c21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c21_is_p19_1) ).
fof(f2,negated_conjecture,
p19(c22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c22_is_p19_2) ).
fof(f4,negated_conjecture,
! [X0] : p7(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_4) ).
fof(f6,negated_conjecture,
! [X0] : p3(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_6) ).
fof(f7,negated_conjecture,
p7(f16(c21),f16(c22)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_7) ).
fof(f8,negated_conjecture,
~ p3(f4(f6(c21)),f4(f6(c22))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p3_8) ).
fof(f17,negated_conjecture,
! [X0,X1] :
( p7(f15(X0),f15(X1))
| ~ p7(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_17) ).
fof(f21,negated_conjecture,
! [X2,X0,X1] :
( p3(X0,X1)
| ~ p3(X2,X0)
| ~ p3(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_21) ).
fof(f22,negated_conjecture,
! [X2,X3,X0,X1] :
( p17(X0,X1)
| ~ p7(X2,X0)
| ~ p7(X3,X1)
| ~ p17(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_22) ).
fof(f23,negated_conjecture,
! [X2,X3,X0,X1] :
( p18(X0,X1)
| ~ p7(X2,X0)
| ~ p7(X3,X1)
| ~ p18(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_23) ).
fof(f27,negated_conjecture,
! [X0] :
( p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X0)))
| ~ p19(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_27) ).
fof(f28,negated_conjecture,
! [X0] :
( p17(f15(f16(X0)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
| ~ p19(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17_28) ).
fof(f29,negated_conjecture,
! [X0,X1] :
( ~ p17(f15(f16(X0)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),X1),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
| ~ p19(X0)
| ~ p18(f9(f10(f13(f11(f14(f12(c20)))),X1),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X0)))
| p3(f4(f6(X0)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_29) ).
fof(f42,plain,
! [X0] :
( ~ p3(X0,f4(f6(c22)))
| ~ p3(X0,f4(f6(c21))) ),
inference(resolution,[],[f21,f8]) ).
fof(f58,plain,
~ p3(f4(f6(c22)),f4(f6(c21))),
inference(resolution,[],[f42,f6]) ).
fof(f62,plain,
! [X2,X3,X0,X1] :
( ~ p7(X3,f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),X1),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
| ~ p18(f9(f10(f13(f11(f14(f12(c20)))),X1),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X0)))
| p3(f4(f6(X0)),X1)
| ~ p7(X2,f15(f16(X0)))
| ~ p19(X0)
| ~ p17(X2,X3) ),
inference(resolution,[],[f29,f22]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ p17(X2,f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),X0),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
| p3(f4(f6(X1)),X0)
| ~ p7(X2,f15(f16(X1)))
| ~ p19(X1)
| ~ p18(f9(f10(f13(f11(f14(f12(c20)))),X0),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X1))) ),
inference(resolution,[],[f62,f4]) ).
fof(f87,plain,
! [X0,X1] :
( ~ p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X1))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X0)))
| ~ p7(f15(f16(X1)),f15(f16(X0)))
| ~ p19(X0)
| p3(f4(f6(X0)),f4(f6(X1)))
| ~ p19(X1) ),
inference(resolution,[],[f66,f28]) ).
fof(f142,plain,
! [X2,X3,X0,X1] :
( ~ p7(X2,f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))
| ~ p19(X1)
| p3(f4(f6(X1)),f4(f6(X0)))
| ~ p19(X0)
| ~ p7(f15(f16(X0)),f15(f16(X1)))
| ~ p7(X3,f15(f16(X1)))
| ~ p18(X2,X3) ),
inference(resolution,[],[f87,f23]) ).
fof(f261,plain,
! [X2,X0,X1] :
( ~ p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X1))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),X2)
| p3(f4(f6(X0)),f4(f6(X1)))
| ~ p19(X1)
| ~ p7(f15(f16(X1)),f15(f16(X0)))
| ~ p7(X2,f15(f16(X0)))
| ~ p19(X0) ),
inference(resolution,[],[f142,f4]) ).
fof(f544,plain,
! [X0,X1] :
( p3(f4(f6(X0)),f4(f6(X1)))
| ~ p19(X1)
| ~ p7(f15(f16(X1)),f15(f16(X0)))
| ~ p7(f15(f16(X1)),f15(f16(X0)))
| ~ p19(X0)
| ~ p19(X1) ),
inference(resolution,[],[f261,f27]) ).
fof(f546,plain,
! [X0,X1] :
( p3(f4(f6(X0)),f4(f6(X1)))
| ~ p19(X1)
| ~ p7(f15(f16(X1)),f15(f16(X0)))
| ~ p19(X0) ),
inference(duplicate_literal_removal,[],[f544]) ).
fof(f970,plain,
( ~ p19(c21)
| ~ p7(f15(f16(c21)),f15(f16(c22)))
| ~ p19(c22) ),
inference(resolution,[],[f546,f58]) ).
fof(f1043,plain,
( ~ p7(f15(f16(c21)),f15(f16(c22)))
| ~ p19(c22) ),
inference(forward_subsumption_resolution,[],[f970,f1]) ).
fof(f1050,plain,
~ p7(f15(f16(c21)),f15(f16(c22))),
inference(forward_subsumption_resolution,[],[f1043,f2]) ).
fof(f1052,plain,
~ p7(f16(c21),f16(c22)),
inference(resolution,[],[f1050,f17]) ).
fof(f1054,plain,
$false,
inference(forward_subsumption_resolution,[],[f1052,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN600-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 % Computer : n013.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Mon Sep 28 16:33:38 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running first-order theorem proving
% 0.07/0.23 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
% 2.65/1.14 % (1313702)Input is clausal, will run a generic CNF schedule.
% 2.65/1.14 % (1313712)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3503027476:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.65/1.14 % (1313712)First to succeed.
% 2.65/1.14 % (1313712)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1313702"
% 2.65/1.14 % (1313708)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=3365730598:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.65/1.14 % (1313713)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4155748438:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.65/1.14 % (1313710)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1219695957:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.65/1.14 % (1313709)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2578296413:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.65/1.14 % (1313711)lrs+10_1_sil=8000:sp=occurrence:random_seed=1888858886:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.65/1.14 % (1313714)dis-21_1_sil=8000:lcm=predicate:random_seed=3896622126: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)
% 2.65/1.14 % (1313713)Also succeeded, but the first one will report.
% 2.65/1.14 % (1313711)Instruction limit reached!
% 2.65/1.14 % (1313711)------------------------------
% 2.65/1.14 % (1313711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.14 % (1313711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.14 % (1313711)CaDiCaL version: 2.1.3
% 2.65/1.14 % (1313711)Termination reason: Instruction limit
% 2.65/1.14 % (1313711)Termination phase: Saturation
% 2.65/1.14 % (1313711)Time elapsed: 0.057 s
% 2.65/1.14 % (1313711)Peak memory usage: 88 MB
% 2.65/1.14 % (1313711)Instructions burned: 107 (million)
% 2.65/1.14 % (1313714)Instruction limit reached!
% 2.65/1.14 % (1313714)------------------------------
% 2.65/1.14 % (1313714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.14 % (1313714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.14 % (1313714)CaDiCaL version: 2.1.3
% 2.65/1.14 % (1313714)Termination reason: Instruction limit
% 2.65/1.14 % (1313714)Termination phase: Saturation
% 2.65/1.14 % (1313714)Time elapsed: 0.071 s
% 2.65/1.14 % (1313714)Peak memory usage: 88 MB
% 2.65/1.14 % (1313714)Instructions burned: 120 (million)
% 2.65/1.14 % (1313712)Refutation found. Thanks to Tanya!
% 2.65/1.14 % SZS status Unsatisfiable for theBenchmark
% 2.65/1.14 % SZS output start Proof for theBenchmark
% See solution above
% 2.65/1.14 % (1313712)------------------------------
% 2.65/1.14 % (1313712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.14 % (1313712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.14 % (1313712)CaDiCaL version: 2.1.3
% 2.65/1.14 % (1313712)Termination reason: Refutation
% 2.65/1.14 % (1313712)Time elapsed: 0.021 s
% 2.65/1.14 % (1313712)Peak memory usage: 88 MB
% 2.65/1.14 % (1313712)Instructions burned: 61 (million)
% 2.65/1.14 % (1313712)------------------------------
% 2.65/1.14 % (1313712)------------------------------
% 2.65/1.14 % (1313702)Success in time 0.285 s
% 2.65/1.14 % Vampire exiting
%------------------------------------------------------------------------------