%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN614-1 : 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 : n016.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 02:01:05 PM UTC 2026
% Result : Unsatisfiable 3.88s 1.26s
% Output : Refutation 3.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 32 ( 15 unt; 1 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 72 ( 42 ~; 29 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 6 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 8 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X0] : p7(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_2) ).
fof(f6,negated_conjecture,
p19(c23,f3(f4(f5(c22)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_6) ).
fof(f7,negated_conjecture,
p20(c24,f6(f3(f4(f5(c22))),c21)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20_7) ).
fof(f13,negated_conjecture,
p2(c26,f14(f16(c28,f17(c21,c27)),c25)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_13) ).
fof(f15,negated_conjecture,
! [X2,X0,X1] :
( p7(X0,X1)
| ~ p7(X2,X0)
| ~ p7(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_15) ).
fof(f18,negated_conjecture,
p19(f6(f3(f4(f5(c22))),f18(c21,f3(f5(c22)))),c24),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_18) ).
fof(f23,negated_conjecture,
! [X2,X3,X0,X1] :
( p7(f8(X0,X1),f8(X2,X3))
| ~ p7(X0,X2)
| ~ p7(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_23) ).
fof(f24,negated_conjecture,
! [X2,X3,X0,X1] :
( p7(f10(X0,X1),f10(X2,X3))
| ~ p2(X1,X3)
| ~ p7(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_24) ).
fof(f29,negated_conjecture,
p7(c25,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_29) ).
fof(f31,negated_conjecture,
! [X0,X1] :
( ~ p7(c25,f8(f10(f12(f11(f3(f5(c22)))),X0),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(X1),f10(f11(f3(f4(f5(c22)))),c27)))))
| ~ p20(X1,f6(f3(f4(f5(c22))),c21))
| ~ p19(f6(f3(f4(f5(c22))),f18(c21,f3(f5(c22)))),X1)
| ~ p19(X0,f3(f4(f5(c22)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p19_31) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ p20(X0,f6(f3(f4(f5(c22))),c21))
| ~ p19(f6(f3(f4(f5(c22))),f18(c21,f3(f5(c22)))),X0)
| ~ p19(X1,f3(f4(f5(c22))))
| ~ p7(X2,c25)
| ~ p7(X2,f8(f10(f12(f11(f3(f5(c22)))),X1),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(X0),f10(f11(f3(f4(f5(c22)))),c27))))) ),
inference(resolution,[],[f31,f15]) ).
fof(f55,plain,
! [X0,X1] :
( ~ p19(f6(f3(f4(f5(c22))),f18(c21,f3(f5(c22)))),c24)
| ~ p19(X0,f3(f4(f5(c22))))
| ~ p7(X1,c25)
| ~ p7(X1,f8(f10(f12(f11(f3(f5(c22)))),X0),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))) ),
inference(resolution,[],[f53,f7]) ).
fof(f57,plain,
! [X0,X1] :
( ~ p19(X0,f3(f4(f5(c22))))
| ~ p7(X1,c25)
| ~ p7(X1,f8(f10(f12(f11(f3(f5(c22)))),X0),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))) ),
inference(forward_subsumption_resolution,[],[f55,f18]) ).
fof(f70,plain,
! [X0] :
( ~ p7(X0,c25)
| ~ p7(X0,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))) ),
inference(resolution,[],[f57,f6]) ).
fof(f111,plain,
! [X0,X1] :
( ~ p7(X1,c25)
| ~ p7(X1,X0)
| ~ p7(X0,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))) ),
inference(resolution,[],[f70,f15]) ).
fof(f172,plain,
! [X0] :
( ~ p7(c25,X0)
| ~ p7(X0,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))) ),
inference(resolution,[],[f111,f2]) ).
fof(f268,plain,
~ p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))),
inference(resolution,[],[f172,f29]) ).
fof(f494,plain,
( ~ p7(f10(f12(f11(f3(f5(c22)))),c23),f10(f12(f11(f3(f5(c22)))),c23))
| ~ p7(f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))) ),
inference(resolution,[],[f268,f23]) ).
fof(f496,plain,
~ p7(f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),
inference(forward_subsumption_resolution,[],[f494,f2]) ).
fof(f986,plain,
( ~ p7(f10(f11(f3(f4(f5(c22)))),c26),f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)))
| ~ p7(f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))) ),
inference(resolution,[],[f496,f23]) ).
fof(f988,plain,
~ p7(f10(f11(f3(f4(f5(c22)))),c26),f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25))),
inference(forward_subsumption_resolution,[],[f986,f2]) ).
fof(f1000,definition,
( spl0_28
<=> p7(f10(f11(f3(f4(f5(c22)))),c26),f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25))) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f1002,plain,
( ~ p7(f10(f11(f3(f4(f5(c22)))),c26),f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)))
| spl0_28 ),
inference(avatar_component_clause,[],[f1000]) ).
fof(f1289,plain,
~ spl0_28,
inference(avatar_split_clause,[],[f988,f1000]) ).
fof(f1292,plain,
( ~ p2(c26,f14(f16(c28,f17(c21,c27)),c25))
| ~ p7(f11(f3(f4(f5(c22)))),f11(f3(f4(f5(c22)))))
| spl0_28 ),
inference(resolution,[],[f1002,f24]) ).
fof(f1294,plain,
( ~ p7(f11(f3(f4(f5(c22)))),f11(f3(f4(f5(c22)))))
| spl0_28 ),
inference(forward_subsumption_resolution,[],[f1292,f13]) ).
fof(f1295,plain,
( $false
| spl0_28 ),
inference(forward_subsumption_resolution,[],[f1294,f2]) ).
fof(f1296,plain,
spl0_28,
inference(avatar_contradiction_clause,[],[f1295]) ).
cnf(s33,plain,
~ spl0_28,
inference(sat_conversion,[],[f1289]) ).
cnf(s34,plain,
spl0_28,
inference(sat_conversion,[],[f1296]) ).
cnf(s35,plain,
$false,
inference(rat,[],[s33,s34]) ).
fof(f1297,plain,
$false,
inference(avatar_sat_refutation,[],[s35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN614-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n016.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 16:40:49 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running first-order theorem proving
% 0.10/0.23 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
% 3.88/1.26 % (3753295)Input is clausal, will run a generic CNF schedule.
% 3.88/1.26 % (3753306)dis-21_1_sil=8000:lcm=predicate:random_seed=483492635: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)
% 3.88/1.26 % (3753306)Instruction limit reached!
% 3.88/1.26 % (3753306)------------------------------
% 3.88/1.26 % (3753306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.26 % (3753306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.26 % (3753306)CaDiCaL version: 2.1.3
% 3.88/1.26 % (3753306)Termination reason: Instruction limit
% 3.88/1.26 % (3753306)Termination phase: Saturation
% 3.88/1.26 % (3753306)Time elapsed: 0.036 s
% 3.88/1.26 % (3753306)Peak memory usage: 88 MB
% 3.88/1.26 % (3753306)Instructions burned: 118 (million)
% 3.88/1.26 % (3753305)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3558648301:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.88/1.26 % (3753303)lrs+10_1_sil=8000:sp=occurrence:random_seed=3472020280:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.88/1.26 % (3753304)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2493752309:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.88/1.26 % (3753301)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=298371169:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.88/1.26 % (3753300)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=358408515:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.88/1.26 % (3753302)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2669836202:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.88/1.26 % (3753305)First to succeed.
% 3.88/1.26 % (3753305)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3753295"
% 3.88/1.26 % (3753303)Instruction limit reached!
% 3.88/1.26 % (3753303)------------------------------
% 3.88/1.26 % (3753303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.26 % (3753303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.26 % (3753303)CaDiCaL version: 2.1.3
% 3.88/1.26 % (3753303)Termination reason: Instruction limit
% 3.88/1.26 % (3753303)Termination phase: Saturation
% 3.88/1.26 % (3753303)Time elapsed: 0.060 s
% 3.88/1.26 % (3753303)Peak memory usage: 89 MB
% 3.88/1.26 % (3753303)Instructions burned: 107 (million)
% 3.88/1.26 % (3753304)Instruction limit reached!
% 3.88/1.26 % (3753304)------------------------------
% 3.88/1.26 % (3753304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.26 % (3753304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.26 % (3753304)CaDiCaL version: 2.1.3
% 3.88/1.26 % (3753304)Termination reason: Instruction limit
% 3.88/1.26 % (3753304)Termination phase: Saturation
% 3.88/1.26 % (3753304)Time elapsed: 0.072 s
% 3.88/1.26 % (3753304)Peak memory usage: 88 MB
% 3.88/1.26 % (3753304)Instructions burned: 115 (million)
% 3.88/1.26 % (3753308)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=2775157040:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.88/1.26 % (3753308)Instruction limit reached!
% 3.88/1.26 % (3753308)------------------------------
% 3.88/1.26 % (3753308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.26 % (3753308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.26 % (3753308)CaDiCaL version: 2.1.3
% 3.88/1.26 % (3753308)Termination reason: Instruction limit
% 3.88/1.26 % (3753308)Termination phase: Saturation
% 3.88/1.26 % (3753308)Time elapsed: 0.044 s
% 3.88/1.26 % (3753308)Peak memory usage: 88 MB
% 3.88/1.26 % (3753308)Instructions burned: 143 (million)
% 3.88/1.26 % (3753315)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4210940072: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)
% 3.88/1.26 % (3753316)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2190050035:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.88/1.26 % (3753318)lrs+10_64_to=lpo:sil=8000:random_seed=3129806562:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 3.88/1.26 % (3753318)Instruction limit reached!
% 3.88/1.26 % (3753318)------------------------------
% 3.88/1.26 % (3753318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.26 % (3753318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.26 % (3753318)CaDiCaL version: 2.1.3
% 3.88/1.26 % (3753318)Termination reason: Instruction limit
% 3.88/1.26 % (3753318)Termination phase: Saturation
% 3.88/1.26 % (3753318)Time elapsed: 0.035 s
% 3.88/1.26 % (3753318)Peak memory usage: 90 MB
% 3.88/1.26 % (3753318)Instructions burned: 127 (million)
% 3.88/1.26 % (3753315)Instruction limit reached!
% 3.88/1.26 % (3753315)------------------------------
% 3.88/1.26 % (3753315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.26 % (3753315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.26 % (3753315)CaDiCaL version: 2.1.3
% 3.88/1.26 % (3753315)Termination reason: Instruction limit
% 3.88/1.26 % (3753315)Termination phase: Saturation
% 3.88/1.26 % (3753315)Time elapsed: 0.102 s
% 3.88/1.26 % (3753315)Peak memory usage: 93 MB
% 3.88/1.26 % (3753315)Instructions burned: 190 (million)
% 3.88/1.26 % (3753305)Refutation found. Thanks to Tanya!
% 3.88/1.26 % SZS status Unsatisfiable for theBenchmark
% 3.88/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 3.88/1.26 % (3753305)------------------------------
% 3.88/1.26 % (3753305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.26 % (3753305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.26 % (3753305)CaDiCaL version: 2.1.3
% 3.88/1.26 % (3753305)Termination reason: Refutation
% 3.88/1.26 % (3753305)Time elapsed: 0.058 s
% 3.88/1.26 % (3753305)Peak memory usage: 90 MB
% 3.88/1.26 % (3753305)Instructions burned: 91 (million)
% 3.88/1.26 % (3753305)------------------------------
% 3.88/1.26 % (3753305)------------------------------
% 3.88/1.26 % (3753295)Success in time 0.468 s
% 3.88/1.26 % Vampire exiting
%------------------------------------------------------------------------------