%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN704-1 : 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 : 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 02:01:17 PM UTC 2026
% Result : Unsatisfiable 3.76s 1.34s
% Output : Refutation 3.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 48 ( 26 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 11 con; 0-2 aty)
% Number of variables : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
! [X0] : p7(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_3) ).
fof(f20,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_20) ).
fof(f26,negated_conjecture,
p7(c54,c55),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_26) ).
fof(f29,negated_conjecture,
! [X2,X0,X1] :
( p7(X0,X1)
| ~ p7(X2,X0)
| ~ p7(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_29) ).
fof(f52,negated_conjecture,
! [X2,X3,X0,X1] : ~ p47(f20(f22(f24(f26(c56,X0),X1),X2),X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p47_52) ).
fof(f53,negated_conjecture,
! [X2,X3,X0,X1] :
( p47(X0,X1)
| ~ p47(X2,X3)
| ~ p7(X3,X1)
| ~ p4(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_53) ).
fof(f58,negated_conjecture,
! [X2,X3,X0,X1] :
( p4(f5(X0,X1),f5(X2,X3))
| ~ p2(X0,X2)
| ~ p3(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_58) ).
fof(f74,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ p47(f5(c48,f13(f16(f18(c50,X0),X2),X3)),X1)
| p47(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_74) ).
fof(f77,negated_conjecture,
p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c55),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_77) ).
fof(f80,negated_conjecture,
! [X2,X3,X0,X1] : p3(f8(f10(c49,f13(f16(f18(c50,X0),X1),X2)),X3),f13(f16(f18(c50,f20(f22(f24(f26(c56,X0),X1),X2),X3)),f30(f32(f34(f36(c57,X0),X1),X2),X3)),f40(f42(f44(f46(c58,X0),X1),X2),X3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_80) ).
fof(f82,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ p4(X2,f5(c48,f13(f16(f18(c50,X0),X4),X5)))
| ~ p47(X2,X3)
| ~ p7(X3,X1)
| p47(X0,X1) ),
inference(resolution,[],[f74,f53]) ).
fof(f91,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p3(X1,f13(f16(f18(c50,X4),X5),X6))
| ~ p7(X2,X3)
| p47(X4,X3)
| ~ p2(X0,c48)
| ~ p47(f5(X0,X1),X2) ),
inference(resolution,[],[f82,f58]) ).
fof(f124,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p47(f5(X6,f8(f10(c49,f13(f16(f18(c50,X2),X3),X4)),X5)),X0)
| p47(f20(f22(f24(f26(c56,X2),X3),X4),X5),X1)
| ~ p2(X6,c48)
| ~ p7(X0,X1) ),
inference(resolution,[],[f91,f80]) ).
fof(f274,plain,
! [X0] :
( p47(f20(f22(f24(f26(c56,c51),c52),c53),c54),X0)
| ~ p2(c48,c48)
| ~ p7(c55,X0) ),
inference(resolution,[],[f124,f77]) ).
fof(f278,plain,
! [X0] :
( p47(f20(f22(f24(f26(c56,c51),c52),c53),c54),X0)
| ~ p7(c55,X0) ),
inference(forward_subsumption_resolution,[],[f274,f20]) ).
fof(f296,plain,
~ p7(c55,c54),
inference(resolution,[],[f278,f52]) ).
fof(f324,plain,
! [X0] :
( ~ p7(X0,c55)
| ~ p7(X0,c54) ),
inference(resolution,[],[f296,f29]) ).
fof(f355,plain,
~ p7(c54,c54),
inference(resolution,[],[f324,f26]) ).
fof(f356,plain,
$false,
inference(forward_subsumption_resolution,[],[f355,f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN704-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 % Computer : n026.cluster.edu
% 0.09/0.22 % Model : x86_64 x86_64
% 0.09/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22 % Memory : 8046.5625MB
% 0.09/0.22 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Mon Sep 28 16:49:57 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.26 Running first-order theorem proving
% 0.09/0.26 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
% 3.76/1.34 % (4010350)Input is clausal, will run a generic CNF schedule.
% 3.76/1.34 % (4010457)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2704225960:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.76/1.34 % (4010454)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=1511339521:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.76/1.34 % (4010461)lrs+10_1_sil=8000:sp=occurrence:random_seed=1063624347:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.76/1.34 % (4010455)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1717259026:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.76/1.34 % (4010462)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2680389792:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.76/1.34 % (4010464)dis-21_1_sil=8000:lcm=predicate:random_seed=3075354590: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)
% 3.76/1.34 % (4010462)First to succeed.
% 3.76/1.34 % (4010462)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4010350"
% 3.76/1.34 % (4010463)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3956828660:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.76/1.34 % (4010463)Also succeeded, but the first one will report.
% 3.76/1.34 % (4010464)Also succeeded, but the first one will report.
% 3.76/1.34 % (4010461)Instruction limit reached!
% 3.76/1.34 % (4010461)------------------------------
% 3.76/1.34 % (4010461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.76/1.34 % (4010461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.34 % (4010461)CaDiCaL version: 2.1.3
% 3.76/1.34 % (4010461)Termination reason: Instruction limit
% 3.76/1.34 % (4010461)Termination phase: Saturation
% 3.76/1.34 % (4010461)Time elapsed: 0.088 s
% 3.76/1.34 % (4010461)Peak memory usage: 89 MB
% 3.76/1.34 % (4010461)Instructions burned: 107 (million)
% 3.76/1.34 % (4010513)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1984654111:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.76/1.34 % (4010462)Refutation found. Thanks to Tanya!
% 3.76/1.34 % SZS status Unsatisfiable for theBenchmark
% 3.76/1.34 % SZS output start Proof for theBenchmark
% See solution above
% 3.76/1.34 % (4010462)------------------------------
% 3.76/1.34 % (4010462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.76/1.34 % (4010462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.34 % (4010462)CaDiCaL version: 2.1.3
% 3.76/1.34 % (4010462)Termination reason: Refutation
% 3.76/1.34 % (4010462)Time elapsed: 0.013 s
% 3.76/1.34 % (4010462)Peak memory usage: 88 MB
% 3.76/1.34 % (4010462)Instructions burned: 16 (million)
% 3.76/1.34 % (4010462)------------------------------
% 3.76/1.34 % (4010462)------------------------------
% 3.76/1.34 % (4010350)Success in time 0.456 s
% 3.76/1.34 % Vampire exiting
%------------------------------------------------------------------------------