%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN560-1 : 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 : n001.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 02:00:57 PM UTC 2026
% Result : Unsatisfiable 4.40s 1.58s
% Output : Refutation 4.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 30 ( 11 unt; 1 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 100 ( 57 ~; 42 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 44 ( 0 sgn 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
fof(f2,negated_conjecture,
~ p2(c9,f3(c10)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_2) ).
fof(f4,negated_conjecture,
! [X0] : p2(f4(X0),f5(X0,f3(f7(c10)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
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] :
( p8(X0,X1)
| ~ p8(X0,X2)
| ~ p8(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_9) ).
fof(f10,negated_conjecture,
p8(f6(c9,f4(c12)),f6(c9,f4(f5(c12,c14)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_10) ).
fof(f11,negated_conjecture,
~ p8(f6(c9,f4(c12)),f6(c9,f4(f4(f5(c12,c14))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p8_11) ).
fof(f12,negated_conjecture,
! [X2,X3,X0,X1] :
( p8(X0,X1)
| ~ p2(X2,X1)
| ~ p8(X3,X2)
| ~ p2(X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_12) ).
fof(f14,negated_conjecture,
! [X2,X3,X0,X1] :
( p2(f6(X0,X1),f6(X2,X3))
| ~ p2(X1,X3)
| ~ p2(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_14) ).
fof(f15,negated_conjecture,
! [X0,X1] :
( p8(f6(X0,X1),f6(X0,f5(X1,f3(f7(c10)))))
| p2(X0,f3(c10)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_15) ).
fof(f16,plain,
! [X0] :
( ~ p2(X0,f3(c10))
| ~ p2(X0,c9) ),
inference(resolution,[],[f8,f2]) ).
fof(f27,plain,
! [X0,X1] :
( ~ p2(X0,f6(c9,f4(f4(f5(c12,c14)))))
| ~ p8(X1,X0)
| ~ p2(X1,f6(c9,f4(c12))) ),
inference(resolution,[],[f12,f11]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ p2(X2,f4(f4(f5(c12,c14))))
| ~ p2(X0,f6(c9,f4(c12)))
| ~ p8(X0,f6(X1,X2))
| ~ p2(X1,c9) ),
inference(resolution,[],[f27,f14]) ).
fof(f76,plain,
! [X2,X3,X0,X1] :
( ~ p2(X3,f4(f4(f5(c12,c14))))
| ~ p8(X0,f6(X1,X2))
| ~ p2(X1,c9)
| ~ p2(X3,X2)
| ~ p2(X0,f6(c9,f4(c12))) ),
inference(resolution,[],[f43,f8]) ).
fof(f186,plain,
! [X2,X0,X1] :
( ~ p2(f4(f4(f5(c12,c14))),X2)
| ~ p2(X1,c9)
| ~ p8(X0,f6(X1,X2))
| ~ p2(X0,f6(c9,f4(c12))) ),
inference(resolution,[],[f76,f1]) ).
fof(f293,plain,
! [X0,X1] :
( ~ p8(X1,f6(X0,f5(f4(f5(c12,c14)),f3(f7(c10)))))
| ~ p2(X0,c9)
| ~ p2(X1,f6(c9,f4(c12))) ),
inference(resolution,[],[f186,f4]) ).
fof(f650,plain,
! [X2,X0,X1] :
( ~ p8(X2,f6(X0,f5(f4(f5(c12,c14)),f3(f7(c10)))))
| ~ p2(X1,f6(c9,f4(c12)))
| ~ p8(X1,X2)
| ~ p2(X0,c9) ),
inference(resolution,[],[f293,f9]) ).
fof(f1102,definition,
( spl0_29
<=> ! [X2,X1] :
( ~ p2(X1,f6(c9,f4(c12)))
| ~ p2(X2,c9)
| ~ p8(X1,f6(X2,f4(f5(c12,c14)))) ) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f1103,plain,
( ! [X2,X1] :
( ~ p8(X1,f6(X2,f4(f5(c12,c14))))
| ~ p2(X2,c9)
| ~ p2(X1,f6(c9,f4(c12))) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f1102]) ).
fof(f1480,plain,
( ~ p2(c9,c9)
| ~ p2(f6(c9,f4(c12)),f6(c9,f4(c12)))
| ~ spl0_29 ),
inference(resolution,[],[f1103,f10]) ).
fof(f1481,plain,
( ~ p2(c9,c9)
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1480,f1]) ).
fof(f1482,plain,
( $false
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1481,f1]) ).
fof(f1483,plain,
~ spl0_29,
inference(avatar_contradiction_clause,[],[f1482]) ).
fof(f1835,plain,
! [X0,X1] :
( ~ p2(X0,f6(c9,f4(c12)))
| ~ p8(X0,f6(X1,f4(f5(c12,c14))))
| ~ p2(X1,c9)
| p2(X1,f3(c10)) ),
inference(resolution,[],[f650,f15]) ).
fof(f1837,plain,
! [X0,X1] :
( ~ p2(X0,f6(c9,f4(c12)))
| ~ p8(X0,f6(X1,f4(f5(c12,c14))))
| ~ p2(X1,c9) ),
inference(forward_subsumption_resolution,[],[f1835,f16]) ).
fof(f1838,plain,
spl0_29,
inference(avatar_split_clause,[],[f1837,f1102]) ).
cnf(s27,plain,
~ spl0_29,
inference(sat_conversion,[],[f1483]) ).
cnf(s41,plain,
spl0_29,
inference(sat_conversion,[],[f1838]) ).
cnf(s42,plain,
$false,
inference(rat,[],[s27,s41]) ).
fof(f1839,plain,
$false,
inference(avatar_sat_refutation,[],[s42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN560-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n001.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 16:35:18 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running first-order theorem proving
% 0.08/0.24 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
% 4.40/1.58 % (474626)Input is clausal, will run a generic CNF schedule.
% 4.40/1.58 % (474635)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2642221087:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.40/1.58 % (474635)First to succeed.
% 4.40/1.58 % (474631)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=2965800476:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.40/1.58 % (474633)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2122678573:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.40/1.58 % (474632)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2183446861:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.40/1.58 % (474635)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-474626"
% 4.40/1.58 % (474634)lrs+10_1_sil=8000:sp=occurrence:random_seed=3501076167:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.40/1.58 % (474636)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3119472204:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.40/1.58 % (474637)dis-21_1_sil=8000:lcm=predicate:random_seed=2622425062: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)
% 4.40/1.58 % (474634)Instruction limit reached!
% 4.40/1.58 % (474634)------------------------------
% 4.40/1.58 % (474634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.58 % (474634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.58 % (474634)CaDiCaL version: 2.1.3
% 4.40/1.58 % (474634)Termination reason: Instruction limit
% 4.40/1.58 % (474634)Termination phase: Saturation
% 4.40/1.58 % (474634)Time elapsed: 0.100 s
% 4.40/1.58 % (474634)Peak memory usage: 89 MB
% 4.40/1.58 % (474634)Instructions burned: 108 (million)
% 4.40/1.58 % (474637)Instruction limit reached!
% 4.40/1.58 % (474637)------------------------------
% 4.40/1.58 % (474637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.58 % (474637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.58 % (474637)CaDiCaL version: 2.1.3
% 4.40/1.58 % (474637)Termination reason: Instruction limit
% 4.40/1.58 % (474637)Termination phase: Saturation
% 4.40/1.58 % (474637)Time elapsed: 0.114 s
% 4.40/1.58 % (474637)Peak memory usage: 88 MB
% 4.40/1.58 % (474637)Instructions burned: 117 (million)
% 4.40/1.58 % (474636)Instruction limit reached!
% 4.40/1.58 % (474636)------------------------------
% 4.40/1.58 % (474636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.58 % (474636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.58 % (474636)CaDiCaL version: 2.1.3
% 4.40/1.58 % (474636)Termination reason: Instruction limit
% 4.40/1.58 % (474636)Termination phase: Saturation
% 4.40/1.58 % (474636)Time elapsed: 0.183 s
% 4.40/1.58 % (474636)Peak memory usage: 89 MB
% 4.40/1.58 % (474636)Instructions burned: 180 (million)
% 4.40/1.58 % (474635)Refutation found. Thanks to Tanya!
% 4.40/1.58 % SZS status Unsatisfiable for theBenchmark
% 4.40/1.58 % SZS output start Proof for theBenchmark
% See solution above
% 4.40/1.58 % (474635)------------------------------
% 4.40/1.58 % (474635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.58 % (474635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.58 % (474635)CaDiCaL version: 2.1.3
% 4.40/1.58 % (474635)Termination reason: Refutation
% 4.40/1.58 % (474635)Time elapsed: 0.050 s
% 4.40/1.58 % (474635)Peak memory usage: 89 MB
% 4.40/1.58 % (474635)Instructions burned: 94 (million)
% 4.40/1.58 % (474635)------------------------------
% 4.40/1.58 % (474635)------------------------------
% 4.40/1.58 % (474626)Success in time 0.513 s
% 4.40/1.58 % Vampire exiting
%------------------------------------------------------------------------------