%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN576-1 : 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 : n011.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 02:01:00 PM UTC 2026
% Result : Unsatisfiable 2.54s 1.11s
% Output : Refutation 2.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 28 ( 11 unt; 0 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 104 ( 59 ~; 45 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 39 ( 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p8(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_1) ).
fof(f3,negated_conjecture,
! [X0] : p4(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_3) ).
fof(f4,negated_conjecture,
! [X0] : p5(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_4) ).
fof(f5,negated_conjecture,
p12(c15,f6(c13)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_5) ).
fof(f6,negated_conjecture,
p12(c16,f6(c13)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_6) ).
fof(f7,negated_conjecture,
! [X0,X1] :
( p11(X0,X1)
| p11(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_7) ).
fof(f8,negated_conjecture,
! [X0,X1] : p2(f3(X0,X1),f3(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_8) ).
fof(f16,negated_conjecture,
! [X2,X3,X0,X1] :
( p12(X0,X1)
| ~ p2(X2,X0)
| ~ p5(X3,X1)
| ~ p12(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_16) ).
fof(f17,negated_conjecture,
~ p12(f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16)),f6(c13)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p12_17) ).
fof(f19,negated_conjecture,
! [X2,X3,X0,X1] :
( p2(f7(X0,X1),f7(X2,X3))
| ~ p2(X0,X2)
| ~ p2(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_19) ).
fof(f20,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( p2(f9(X0,X1,X2),f9(X3,X4,X5))
| ~ p4(X0,X3)
| ~ p8(X1,X4)
| ~ p2(X2,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_20) ).
fof(f22,negated_conjecture,
! [X2,X0,X1] :
( p12(f7(f9(X0,c14,f3(X1,X2)),f3(X1,X2)),f6(X0))
| ~ p12(X2,f6(X0))
| ~ p12(X1,f6(X0))
| ~ p11(f10(X1),f10(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_22) ).
fof(f23,plain,
! [X0,X1] :
( ~ p5(X1,f6(c13))
| ~ p2(X0,f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16)))
| ~ p12(X0,X1) ),
inference(resolution,[],[f17,f16]) ).
fof(f24,plain,
! [X0] :
( ~ p2(X0,f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16)))
| ~ p12(X0,f6(c13)) ),
inference(resolution,[],[f23,f4]) ).
fof(f29,plain,
! [X0,X1] :
( ~ p12(f7(X0,X1),f6(c13))
| ~ p2(X0,f9(c13,c14,f3(c15,c16)))
| ~ p2(X1,f3(c15,c16)) ),
inference(resolution,[],[f24,f19]) ).
fof(f30,plain,
( ~ p12(c16,f6(c13))
| ~ p12(c15,f6(c13))
| ~ p11(f10(c15),f10(c16)) ),
inference(resolution,[],[f22,f17]) ).
fof(f31,plain,
( ~ p12(c15,f6(c13))
| ~ p11(f10(c15),f10(c16)) ),
inference(forward_subsumption_resolution,[],[f30,f6]) ).
fof(f32,plain,
~ p11(f10(c15),f10(c16)),
inference(forward_subsumption_resolution,[],[f31,f5]) ).
fof(f34,plain,
p11(f10(c16),f10(c15)),
inference(resolution,[],[f32,f7]) ).
fof(f64,plain,
! [X0,X1] :
( ~ p2(f9(c13,c14,f3(X0,X1)),f9(c13,c14,f3(c15,c16)))
| ~ p2(f3(X0,X1),f3(c15,c16))
| ~ p12(X1,f6(c13))
| ~ p12(X0,f6(c13))
| ~ p11(f10(X0),f10(X1)) ),
inference(resolution,[],[f29,f22]) ).
fof(f193,plain,
! [X0,X1] :
( ~ p2(f3(X0,X1),f3(c15,c16))
| ~ p12(X1,f6(c13))
| ~ p12(X0,f6(c13))
| ~ p11(f10(X0),f10(X1))
| ~ p4(c13,c13)
| ~ p8(c14,c14)
| ~ p2(f3(X0,X1),f3(c15,c16)) ),
inference(resolution,[],[f64,f20]) ).
fof(f196,plain,
! [X0,X1] :
( ~ p2(f3(X0,X1),f3(c15,c16))
| ~ p12(X1,f6(c13))
| ~ p12(X0,f6(c13))
| ~ p11(f10(X0),f10(X1))
| ~ p4(c13,c13)
| ~ p8(c14,c14) ),
inference(duplicate_literal_removal,[],[f193]) ).
fof(f197,plain,
! [X0,X1] :
( ~ p2(f3(X0,X1),f3(c15,c16))
| ~ p12(X1,f6(c13))
| ~ p12(X0,f6(c13))
| ~ p11(f10(X0),f10(X1))
| ~ p8(c14,c14) ),
inference(forward_subsumption_resolution,[],[f196,f3]) ).
fof(f198,plain,
! [X0,X1] :
( ~ p2(f3(X0,X1),f3(c15,c16))
| ~ p12(X1,f6(c13))
| ~ p12(X0,f6(c13))
| ~ p11(f10(X0),f10(X1)) ),
inference(forward_subsumption_resolution,[],[f197,f1]) ).
fof(f268,plain,
( ~ p12(c15,f6(c13))
| ~ p12(c16,f6(c13))
| ~ p11(f10(c16),f10(c15)) ),
inference(resolution,[],[f198,f8]) ).
fof(f272,plain,
( ~ p12(c16,f6(c13))
| ~ p11(f10(c16),f10(c15)) ),
inference(forward_subsumption_resolution,[],[f268,f5]) ).
fof(f273,plain,
~ p11(f10(c16),f10(c15)),
inference(forward_subsumption_resolution,[],[f272,f6]) ).
fof(f274,plain,
$false,
inference(forward_subsumption_resolution,[],[f273,f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN576-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.16 % Computer : n011.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.16 % CPULimit : 300
% 0.10/0.16 % WCLimit : 300
% 0.10/0.16 % DateTime : Mon Sep 28 16:30:46 UTC 2026
% 0.10/0.16 % CPUTime :
% 0.10/0.16 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 Running first-order theorem proving
% 0.10/0.19 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
% 2.54/1.11 % (3514767)Input is clausal, will run a generic CNF schedule.
% 2.54/1.11 % (3514777)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=82320560:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.54/1.11 % (3514777)First to succeed.
% 2.54/1.11 % (3514777)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3514767"
% 2.54/1.11 % (3514772)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=2574777770:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.54/1.11 % (3514773)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3414370384:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.54/1.11 % (3514776)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=343118571:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.54/1.11 % (3514774)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4150885233:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.54/1.11 % (3514775)lrs+10_1_sil=8000:sp=occurrence:random_seed=3647423327:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.54/1.11 % (3514776)Also succeeded, but the first one will report.
% 2.54/1.11 % (3514778)dis-21_1_sil=8000:lcm=predicate:random_seed=629992484: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)
% 2.54/1.11 % (3514778)Also succeeded, but the first one will report.
% 2.54/1.11 % (3514775)Instruction limit reached!
% 2.54/1.11 % (3514775)------------------------------
% 2.54/1.11 % (3514775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.11 % (3514775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.11 % (3514775)CaDiCaL version: 2.1.3
% 2.54/1.11 % (3514775)Termination reason: Instruction limit
% 2.54/1.11 % (3514775)Termination phase: Saturation
% 2.54/1.11 % (3514775)Time elapsed: 0.059 s
% 2.54/1.11 % (3514775)Peak memory usage: 88 MB
% 2.54/1.11 % (3514775)Instructions burned: 109 (million)
% 2.54/1.11 % (3514777)Refutation found. Thanks to Tanya!
% 2.54/1.11 % SZS status Unsatisfiable for theBenchmark
% 2.54/1.11 % SZS output start Proof for theBenchmark
% See solution above
% 2.54/1.11 % (3514777)------------------------------
% 2.54/1.11 % (3514777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.11 % (3514777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.11 % (3514777)CaDiCaL version: 2.1.3
% 2.54/1.11 % (3514777)Termination reason: Refutation
% 2.54/1.11 % (3514777)Time elapsed: 0.006 s
% 2.54/1.11 % (3514777)Peak memory usage: 88 MB
% 2.54/1.11 % (3514777)Instructions burned: 13 (million)
% 2.54/1.11 % (3514777)------------------------------
% 2.54/1.11 % (3514777)------------------------------
% 2.54/1.11 % (3514767)Success in time 0.278 s
% 2.54/1.11 % Vampire exiting
%------------------------------------------------------------------------------