%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN602-1 : 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 : n017.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 02:01:03 PM UTC 2026
% Result : Unsatisfiable 2.89s 1.18s
% Output : Refutation 2.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 29 ( 11 unt; 2 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 67 ( 37 ~; 28 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_2) ).
fof(f3,negated_conjecture,
p15(c22,c21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_3) ).
fof(f4,negated_conjecture,
p2(f3(c18),c19),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
fof(f5,negated_conjecture,
p2(c22,f9(c20,c23)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_5) ).
fof(f14,negated_conjecture,
! [X2,X0,X1] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_14) ).
fof(f16,negated_conjecture,
p2(f7(f8(c21,c22),c20),f6(f5(c18),f3(c18))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_16) ).
fof(f21,negated_conjecture,
! [X2,X3,X0,X1] :
( p2(f6(X0,X1),f6(X2,X3))
| ~ p2(X0,X2)
| ~ p2(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_21) ).
fof(f26,negated_conjecture,
! [X0,X1] :
( ~ p2(f7(f8(c21,X0),c20),f6(f5(c18),c19))
| ~ p2(X0,f9(c20,X1))
| ~ p15(X0,c21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p15_26) ).
fof(f167,plain,
! [X2,X0,X1] :
( ~ p2(X2,f7(f8(c21,X0),c20))
| ~ p15(X0,c21)
| ~ p2(X0,f9(c20,X1))
| ~ p2(X2,f6(f5(c18),c19)) ),
inference(resolution,[],[f26,f14]) ).
fof(f397,plain,
! [X2,X3,X0,X1] :
( ~ p2(X3,f7(f8(c21,X0),c20))
| ~ p2(X0,f9(c20,X1))
| ~ p2(X2,f6(f5(c18),c19))
| ~ p2(X3,X2)
| ~ p15(X0,c21) ),
inference(resolution,[],[f167,f14]) ).
fof(f894,plain,
! [X2,X0,X1] :
( ~ p2(f7(f8(c21,X0),c20),X2)
| ~ p2(X2,f6(f5(c18),c19))
| ~ p2(X0,f9(c20,X1))
| ~ p15(X0,c21) ),
inference(resolution,[],[f397,f2]) ).
fof(f2328,plain,
! [X0] :
( ~ p2(f6(f5(c18),f3(c18)),f6(f5(c18),c19))
| ~ p2(c22,f9(c20,X0))
| ~ p15(c22,c21) ),
inference(resolution,[],[f894,f16]) ).
fof(f2334,plain,
! [X0] :
( ~ p2(f6(f5(c18),f3(c18)),f6(f5(c18),c19))
| ~ p2(c22,f9(c20,X0)) ),
inference(forward_subsumption_resolution,[],[f2328,f3]) ).
fof(f2336,definition,
( spl0_148
<=> ! [X0] : ~ p2(c22,f9(c20,X0)) ),
introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).
fof(f2337,plain,
( ! [X0] : ~ p2(c22,f9(c20,X0))
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f2336]) ).
fof(f2339,definition,
( spl0_149
<=> p2(f6(f5(c18),f3(c18)),f6(f5(c18),c19)) ),
introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).
fof(f2340,plain,
( ~ p2(f6(f5(c18),f3(c18)),f6(f5(c18),c19))
| spl0_149 ),
inference(avatar_component_clause,[],[f2339]) ).
fof(f2341,plain,
( spl0_148
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f2334,f2339,f2336]) ).
fof(f2342,plain,
( ~ p2(f5(c18),f5(c18))
| ~ p2(f3(c18),c19)
| spl0_149 ),
inference(resolution,[],[f2340,f21]) ).
fof(f2344,plain,
( ~ p2(f3(c18),c19)
| spl0_149 ),
inference(forward_subsumption_resolution,[],[f2342,f2]) ).
fof(f2345,plain,
( $false
| spl0_149 ),
inference(forward_subsumption_resolution,[],[f2344,f4]) ).
fof(f2346,plain,
spl0_149,
inference(avatar_contradiction_clause,[],[f2345]) ).
fof(f2352,plain,
( $false
| ~ spl0_148 ),
inference(resolution,[],[f2337,f5]) ).
fof(f2354,plain,
~ spl0_148,
inference(avatar_contradiction_clause,[],[f2352]) ).
cnf(s203,plain,
( spl0_148
| ~ spl0_149 ),
inference(sat_conversion,[],[f2341]) ).
cnf(s204,plain,
spl0_149,
inference(sat_conversion,[],[f2346]) ).
cnf(s205,plain,
~ spl0_148,
inference(sat_conversion,[],[f2354]) ).
cnf(s206,plain,
$false,
inference(rat,[],[s203,s204,s205]) ).
fof(f2355,plain,
$false,
inference(avatar_sat_refutation,[],[s206]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN602-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n017.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 16:28:36 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running first-order theorem proving
% 0.07/0.23 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
% 2.89/1.18 % (3686150)Input is clausal, will run a generic CNF schedule.
% 2.89/1.18 % (3686159)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2188682554:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.89/1.18 % (3686159)First to succeed.
% 2.89/1.18 % (3686159)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3686150"
% 2.89/1.18 % (3686156)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4117314634:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.89/1.18 % (3686157)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2686207953:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.89/1.18 % (3686155)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=2079099903:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.89/1.18 % (3686158)lrs+10_1_sil=8000:sp=occurrence:random_seed=233828961:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.89/1.18 % (3686160)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2726804804:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.89/1.18 % (3686161)dis-21_1_sil=8000:lcm=predicate:random_seed=2927480798: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)
% 2.89/1.18 % (3686161)Also succeeded, but the first one will report.
% 2.89/1.18 % (3686160)Also succeeded, but the first one will report.
% 2.89/1.18 % (3686158)Instruction limit reached!
% 2.89/1.18 % (3686158)------------------------------
% 2.89/1.18 % (3686158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.89/1.18 % (3686158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/1.18 % (3686158)CaDiCaL version: 2.1.3
% 2.89/1.18 % (3686158)Termination reason: Instruction limit
% 2.89/1.18 % (3686158)Termination phase: Saturation
% 2.89/1.18 % (3686158)Time elapsed: 0.065 s
% 2.89/1.18 % (3686158)Peak memory usage: 89 MB
% 2.89/1.18 % (3686158)Instructions burned: 107 (million)
% 2.89/1.18 % (3686159)Refutation found. Thanks to Tanya!
% 2.89/1.18 % SZS status Unsatisfiable for theBenchmark
% 2.89/1.18 % SZS output start Proof for theBenchmark
% See solution above
% 2.89/1.18 % (3686159)------------------------------
% 2.89/1.18 % (3686159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.89/1.18 % (3686159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/1.18 % (3686159)CaDiCaL version: 2.1.3
% 2.89/1.18 % (3686159)Termination reason: Refutation
% 2.89/1.18 % (3686159)Time elapsed: 0.034 s
% 2.89/1.18 % (3686159)Peak memory usage: 90 MB
% 2.89/1.18 % (3686159)Instructions burned: 92 (million)
% 2.89/1.18 % (3686159)------------------------------
% 2.89/1.18 % (3686159)------------------------------
% 2.89/1.18 % (3686150)Success in time 0.326 s
% 2.89/1.18 % Vampire exiting
%------------------------------------------------------------------------------