%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN565-1 : 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 : n018.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 4.23s 1.37s
% Output : Refutation 4.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of formulae : 29 ( 11 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 80 ( 48 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 49 ( 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
fof(f3,negated_conjecture,
! [X0] : p2(f5(f7(X0)),f5(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_3) ).
fof(f4,negated_conjecture,
! [X0,X1] : p4(f8(X0,X1),f6(X0,f7(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_4) ).
fof(f5,negated_conjecture,
! [X0,X1] : p4(f7(f8(X0,X1)),f8(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_5) ).
fof(f6,negated_conjecture,
! [X0,X1] :
( p2(f5(X0),f5(X1))
| ~ p4(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_6) ).
fof(f7,negated_conjecture,
! [X0,X1] :
( p4(f7(X0),f7(X1))
| ~ p4(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_7) ).
fof(f8,negated_conjecture,
! [X2,X0,X1] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_8) ).
fof(f9,negated_conjecture,
! [X2,X0,X1] :
( p4(X0,X1)
| ~ p4(X2,X0)
| ~ p4(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_9) ).
fof(f10,negated_conjecture,
! [X0,X1] : p10(f5(X0),f3(f5(f6(X0,X1)),f5(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_10) ).
fof(f11,negated_conjecture,
~ p10(f9(f5(c11),f5(c12)),f5(f8(c12,c11))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p10_11) ).
fof(f13,negated_conjecture,
! [X2,X0,X1] :
( p10(f9(X0,X1),X2)
| ~ p10(X0,f3(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_13) ).
fof(f14,negated_conjecture,
! [X2,X3,X0,X1] :
( p10(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X3,X1)
| ~ p10(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_14) ).
fof(f16,negated_conjecture,
! [X2,X3,X0,X1] :
( p2(f3(X0,X1),f3(X2,X3))
| ~ p2(X0,X2)
| ~ p2(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_16) ).
fof(f20,plain,
! [X0,X1] :
( ~ p2(X0,f9(f5(c11),f5(c12)))
| ~ p2(X1,f5(f8(c12,c11)))
| ~ p10(X0,X1) ),
inference(resolution,[],[f14,f11]) ).
fof(f23,plain,
! [X0] :
( ~ p10(f9(f5(c11),f5(c12)),X0)
| ~ p2(X0,f5(f8(c12,c11))) ),
inference(resolution,[],[f20,f1]) ).
fof(f27,plain,
! [X0] :
( ~ p10(f5(c11),f3(X0,f5(c12)))
| ~ p2(X0,f5(f8(c12,c11))) ),
inference(resolution,[],[f23,f13]) ).
fof(f34,plain,
! [X2,X0,X1] :
( ~ p2(X2,f3(X0,f5(c12)))
| ~ p2(X1,f5(c11))
| ~ p2(X0,f5(f8(c12,c11)))
| ~ p10(X1,X2) ),
inference(resolution,[],[f27,f14]) ).
fof(f158,plain,
! [X2,X3,X0,X1] :
( ~ p2(X3,f5(c12))
| ~ p2(X1,f5(f8(c12,c11)))
| ~ p10(X0,f3(X2,X3))
| ~ p2(X2,X1)
| ~ p2(X0,f5(c11)) ),
inference(resolution,[],[f34,f16]) ).
fof(f462,plain,
! [X2,X0,X1] :
( ~ p2(X1,f5(c11))
| ~ p10(X1,f3(X2,f5(f7(c12))))
| ~ p2(X2,X0)
| ~ p2(X0,f5(f8(c12,c11))) ),
inference(resolution,[],[f158,f3]) ).
fof(f1138,plain,
! [X0,X1] :
( ~ p10(f5(c11),f3(X0,f5(f7(c12))))
| ~ p2(X0,X1)
| ~ p2(X1,f5(f8(c12,c11))) ),
inference(resolution,[],[f462,f1]) ).
fof(f2284,plain,
! [X0] :
( ~ p2(f5(f6(c11,f7(c12))),X0)
| ~ p2(X0,f5(f8(c12,c11))) ),
inference(resolution,[],[f1138,f10]) ).
fof(f2293,plain,
~ p2(f5(f6(c11,f7(c12))),f5(f8(c12,c11))),
inference(resolution,[],[f2284,f1]) ).
fof(f2302,plain,
! [X0] :
( ~ p2(X0,f5(f6(c11,f7(c12))))
| ~ p2(X0,f5(f8(c12,c11))) ),
inference(resolution,[],[f2293,f8]) ).
fof(f2567,plain,
~ p2(f5(f7(f6(c11,f7(c12)))),f5(f8(c12,c11))),
inference(resolution,[],[f2302,f3]) ).
fof(f2575,plain,
~ p4(f7(f6(c11,f7(c12))),f8(c12,c11)),
inference(resolution,[],[f2567,f6]) ).
fof(f2577,plain,
! [X0] :
( ~ p4(X0,f7(f6(c11,f7(c12))))
| ~ p4(X0,f8(c12,c11)) ),
inference(resolution,[],[f2575,f9]) ).
fof(f2584,plain,
! [X0] :
( ~ p4(f7(X0),f8(c12,c11))
| ~ p4(X0,f6(c11,f7(c12))) ),
inference(resolution,[],[f2577,f7]) ).
fof(f2590,plain,
~ p4(f8(c11,c12),f6(c11,f7(c12))),
inference(resolution,[],[f2584,f5]) ).
fof(f2592,plain,
$false,
inference(forward_subsumption_resolution,[],[f2590,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN565-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n018.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 16:31:25 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 4.23/1.37 % (3523748)Input is clausal, will run a generic CNF schedule.
% 4.23/1.37 % (3523754)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4083387666:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.23/1.37 % (3523753)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=1980646982:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.23/1.37 % (3523756)lrs+10_1_sil=8000:sp=occurrence:random_seed=3520225661:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.23/1.37 % (3523757)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3850712655:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.23/1.37 % (3523759)dis-21_1_sil=8000:lcm=predicate:random_seed=2401318410: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)
% 4.23/1.37 % (3523755)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1239578197:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.23/1.37 % (3523758)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3587191549:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.23/1.37 % (3523756)Instruction limit reached!
% 4.23/1.37 % (3523756)------------------------------
% 4.23/1.37 % (3523756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.23/1.37 % (3523756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/1.37 % (3523756)CaDiCaL version: 2.1.3
% 4.23/1.37 % (3523756)Termination reason: Instruction limit
% 4.23/1.37 % (3523756)Termination phase: Saturation
% 4.23/1.37 % (3523756)Time elapsed: 0.063 s
% 4.23/1.37 % (3523756)Peak memory usage: 88 MB
% 4.23/1.37 % (3523756)Instructions burned: 108 (million)
% 4.23/1.37 % (3523759)Instruction limit reached!
% 4.23/1.37 % (3523759)------------------------------
% 4.23/1.37 % (3523759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.23/1.37 % (3523759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/1.37 % (3523759)CaDiCaL version: 2.1.3
% 4.23/1.37 % (3523759)Termination reason: Instruction limit
% 4.23/1.37 % (3523759)Termination phase: Saturation
% 4.23/1.37 % (3523759)Time elapsed: 0.071 s
% 4.23/1.37 % (3523759)Peak memory usage: 88 MB
% 4.23/1.37 % (3523759)Instructions burned: 118 (million)
% 4.23/1.37 % (3523757)Instruction limit reached!
% 4.23/1.37 % (3523757)------------------------------
% 4.23/1.37 % (3523757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.23/1.37 % (3523757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/1.37 % (3523757)CaDiCaL version: 2.1.3
% 4.23/1.37 % (3523757)Termination reason: Instruction limit
% 4.23/1.37 % (3523757)Termination phase: Saturation
% 4.23/1.37 % (3523757)Time elapsed: 0.077 s
% 4.23/1.37 % (3523757)Peak memory usage: 88 MB
% 4.23/1.37 % (3523757)Instructions burned: 115 (million)
% 4.23/1.37 % (3523758)First to succeed.
% 4.23/1.37 % (3523758)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3523748"
% 4.23/1.37 % (3523767)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=4089168642:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.23/1.37 % (3523768)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2916812538:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 4.23/1.37 % (3523768)Also succeeded, but the first one will report.
% 4.23/1.37 % (3523769)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1312166478:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.23/1.37 % (3523767)Instruction limit reached!
% 4.23/1.37 % (3523767)------------------------------
% 4.23/1.37 % (3523767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.23/1.37 % (3523767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/1.37 % (3523767)CaDiCaL version: 2.1.3
% 4.23/1.37 % (3523767)Termination reason: Instruction limit
% 4.23/1.37 % (3523767)Termination phase: Saturation
% 4.23/1.37 % (3523767)Time elapsed: 0.081 s
% 4.23/1.37 % (3523767)Peak memory usage: 88 MB
% 4.23/1.37 % (3523767)Instructions burned: 143 (million)
% 4.23/1.37 % (3523754)Also succeeded, but the first one will report.
% 4.23/1.37 % (3523769)Instruction limit reached!
% 4.23/1.37 % (3523769)------------------------------
% 4.23/1.37 % (3523769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.23/1.37 % (3523769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/1.37 % (3523769)CaDiCaL version: 2.1.3
% 4.23/1.37 % (3523769)Termination reason: Instruction limit
% 4.23/1.37 % (3523769)Termination phase: Saturation
% 4.23/1.37 % (3523769)Time elapsed: 0.145 s
% 4.23/1.37 % (3523769)Peak memory usage: 90 MB
% 4.23/1.37 % (3523769)Instructions burned: 220 (million)
% 4.23/1.37 % (3523758)Refutation found. Thanks to Tanya!
% 4.23/1.37 % SZS status Unsatisfiable for theBenchmark
% 4.23/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 4.23/1.37 % (3523758)------------------------------
% 4.23/1.37 % (3523758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.23/1.37 % (3523758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/1.37 % (3523758)CaDiCaL version: 2.1.3
% 4.23/1.37 % (3523758)Termination reason: Refutation
% 4.23/1.37 % (3523758)Time elapsed: 0.115 s
% 4.23/1.37 % (3523758)Peak memory usage: 89 MB
% 4.23/1.37 % (3523758)Instructions burned: 176 (million)
% 4.23/1.37 % (3523758)------------------------------
% 4.23/1.37 % (3523758)------------------------------
% 4.23/1.37 % (3523748)Success in time 0.517 s
% 4.23/1.37 % Vampire exiting
%------------------------------------------------------------------------------