%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN716-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 02:01:19 PM UTC 2026
% Result : Unsatisfiable 0.19s 1.13s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 17 ( 7 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 44 ( 23 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 34 ( 34 usr; 12 con; 0-2 aty)
% Number of variables : 49 ( 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,negated_conjecture,
! [X0] : p32(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p32_20) ).
fof(f28,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_28) ).
fof(f34,negated_conjecture,
~ p62(c67,c72),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p62_34) ).
fof(f68,negated_conjecture,
! [X2,X3,X0,X1] :
( p62(X0,X1)
| ~ p4(X2,X0)
| ~ p62(X2,X3)
| ~ p32(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_68) ).
fof(f86,negated_conjecture,
! [X2,X3,X0,X1] :
( p4(f5(X0,X1),f5(X2,X3))
| ~ p2(X0,X2)
| ~ p3(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_86) ).
fof(f97,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p62(f5(c64,f16(f19(f21(c66,X0),X2),X3)),X1)
| p62(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_97) ).
fof(f99,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( ~ p62(f23(f25(f27(f29(f31(c74,X0),X2),X3),X4),X5),X1)
| p62(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_99) ).
fof(f100,negated_conjecture,
p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_100) ).
fof(f106,negated_conjecture,
! [X2,X3,X0,X1,X4] : p3(f8(f11(f13(c65,f16(f19(f21(c66,X0),X1),X2)),X3),X4),f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,X0),X1),X2),X3),X4)),f43(f45(f47(f49(f51(c75,X0),X1),X2),X3),X4)),f53(f55(f57(f59(f61(c76,X0),X1),X2),X3),X4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_106) ).
fof(f109,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ p4(X2,f5(c64,f16(f19(f21(c66,X0),X3),X4)))
| p62(X0,X1)
| ~ p62(X2,X5)
| ~ p32(X5,X1) ),
inference(resolution,[],[f97,f68]) ).
fof(f139,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p3(X3,f16(f19(f21(c66,X0),X5),X6))
| ~ p62(f5(X2,X3),X4)
| ~ p32(X4,X1)
| ~ p2(X2,c64)
| p62(X0,X1) ),
inference(resolution,[],[f109,f86]) ).
fof(f178,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ p62(f5(X0,f8(f11(f13(c65,f16(f19(f21(c66,X1),X2),X3)),X4),X5)),X6)
| ~ p32(X6,X7)
| ~ p2(X0,c64)
| p62(f23(f25(f27(f29(f31(c74,X1),X2),X3),X4),X5),X7) ),
inference(resolution,[],[f139,f106]) ).
fof(f361,plain,
! [X0] :
( ~ p32(c72,X0)
| ~ p2(c64,c64)
| p62(f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71),X0) ),
inference(resolution,[],[f178,f100]) ).
fof(f365,plain,
! [X0] :
( p62(f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71),X0)
| ~ p32(c72,X0) ),
inference(forward_subsumption_resolution,[],[f361,f28]) ).
fof(f423,plain,
! [X0] :
( p62(c67,X0)
| ~ p32(c72,X0) ),
inference(resolution,[],[f365,f99]) ).
fof(f467,plain,
~ p32(c72,c72),
inference(resolution,[],[f423,f34]) ).
fof(f506,plain,
$false,
inference(forward_subsumption_resolution,[],[f467,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN716-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.19 % Computer : n026.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 16:51:27 UTC 2026
% 0.12/0.20 % CPUTime :
% 0.12/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.23 Running first-order theorem proving
% 0.12/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/1.13 % (4012207)Input is clausal, will run a generic CNF schedule.
% 0.19/1.13 % (4012216)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=882791339:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.19/1.13 % (4012216)First to succeed.
% 0.19/1.13 % (4012216)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4012207"
% 0.19/1.13 % (4012212)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=893514125:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.19/1.13 % (4012218)dis-21_1_sil=8000:lcm=predicate:random_seed=1667488389: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)
% 0.19/1.13 % (4012213)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3609577725:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.19/1.13 % (4012214)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3193767292:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.19/1.13 % (4012217)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1192178961:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.19/1.13 % (4012217)Also succeeded, but the first one will report.
% 0.19/1.13 % (4012215)lrs+10_1_sil=8000:sp=occurrence:random_seed=941468996:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.19/1.13 % (4012218)Instruction limit reached!
% 0.19/1.13 % (4012218)------------------------------
% 0.19/1.13 % (4012218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.13 % (4012218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.13 % (4012218)CaDiCaL version: 2.1.3
% 0.19/1.13 % (4012218)Termination reason: Instruction limit
% 0.19/1.13 % (4012218)Termination phase: Saturation
% 0.19/1.13 % (4012218)Time elapsed: 0.069 s
% 0.19/1.13 % (4012218)Peak memory usage: 89 MB
% 0.19/1.13 % (4012218)Instructions burned: 118 (million)
% 0.19/1.13 % (4012215)Instruction limit reached!
% 0.19/1.13 % (4012215)------------------------------
% 0.19/1.13 % (4012215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.13 % (4012215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.13 % (4012215)CaDiCaL version: 2.1.3
% 0.19/1.13 % (4012215)Termination reason: Instruction limit
% 0.19/1.13 % (4012215)Termination phase: Saturation
% 0.19/1.13 % (4012215)Time elapsed: 0.065 s
% 0.19/1.13 % (4012215)Peak memory usage: 89 MB
% 0.19/1.13 % (4012215)Instructions burned: 108 (million)
% 0.19/1.13 % (4012216)Refutation found. Thanks to Tanya!
% 0.19/1.13 % SZS status Unsatisfiable for theBenchmark
% 0.19/1.13 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.13 % (4012216)------------------------------
% 0.19/1.13 % (4012216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.13 % (4012216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.13 % (4012216)CaDiCaL version: 2.1.3
% 0.19/1.13 % (4012216)Termination reason: Refutation
% 0.19/1.13 % (4012216)Time elapsed: 0.008 s
% 0.19/1.13 % (4012216)Peak memory usage: 88 MB
% 0.19/1.13 % (4012216)Instructions burned: 21 (million)
% 0.19/1.13 % (4012216)------------------------------
% 0.19/1.13 % (4012216)------------------------------
% 0.19/1.13 % (4012207)Success in time 0.274 s
% 0.19/1.13 % Vampire exiting
%------------------------------------------------------------------------------