%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC348-1 : TPTP v9.3.1. Released v2.4.0.
% 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 01:03:34 PM UTC 2026
% Result : Unsatisfiable 3.63s 1.22s
% Output : Refutation 3.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 18
% Syntax : Number of formulae : 52 ( 15 unt; 4 def)
% Number of atoms : 112 ( 13 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 108 ( 48 ~; 56 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
fof(f66,axiom,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
fof(f80,axiom,
! [X0] :
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f102,plain,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(f103,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
segmentP(sk4,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( singletonP(sk3)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( ~ segmentP(sk2,sk1)
| ~ strictorderedP(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f211,plain,
( ~ segmentP(sk4,sk3)
| ~ strictorderedP(sk3) ),
inference(definition_unfolding,[],[f208,f204,f205,f205]) ).
fof(f227,definition,
( spl0_1
<=> strictorderedP(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f229,plain,
( ~ strictorderedP(sk3)
| spl0_1 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f231,definition,
( spl0_2
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f232,plain,
( segmentP(sk4,sk3)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f234,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f211,f231,f227]) ).
fof(f236,definition,
( spl0_3
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f238,plain,
( ~ neq(sk4,nil)
| spl0_3 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f240,definition,
( spl0_4
<=> singletonP(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f242,plain,
( singletonP(sk3)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f243,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f207,f240,f236]) ).
fof(f244,plain,
spl0_2,
inference(avatar_split_clause,[],[f206,f231]) ).
fof(f267,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| nil = sk4
| spl0_3 ),
inference(resolution,[],[f102,f238]) ).
fof(f272,plain,
( ~ ssList(nil)
| nil = sk4
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f267,f203]) ).
fof(f273,plain,
( nil = sk4
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f272,f8]) ).
fof(f277,plain,
( segmentP(nil,sk3)
| ~ spl0_2
| spl0_3 ),
inference(superposition,[],[f232,f273]) ).
fof(f288,plain,
( ~ ssList(sk3)
| nil = sk3
| ~ spl0_2
| spl0_3 ),
inference(resolution,[],[f277,f80]) ).
fof(f289,plain,
( nil = sk3
| ~ spl0_2
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f288,f202]) ).
fof(f291,plain,
( ~ strictorderedP(nil)
| spl0_1
| ~ spl0_2
| spl0_3 ),
inference(superposition,[],[f229,f289]) ).
fof(f297,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f291,f3]) ).
fof(f298,plain,
( spl0_1
| ~ spl0_2
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f297]) ).
fof(f299,plain,
( ~ ssList(sk3)
| sk3 = cons(skaf44(sk3),nil)
| ~ spl0_4 ),
inference(resolution,[],[f242,f103]) ).
fof(f300,plain,
( sk3 = cons(skaf44(sk3),nil)
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f299,f202]) ).
fof(f305,plain,
( strictorderedP(sk3)
| ~ ssItem(skaf44(sk3))
| ~ spl0_4 ),
inference(superposition,[],[f66,f300]) ).
fof(f311,plain,
( ~ ssItem(skaf44(sk3))
| spl0_1
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f305,f229]) ).
fof(f314,plain,
( $false
| spl0_1
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f311,f47]) ).
fof(f315,plain,
( spl0_1
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f314]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f234]) ).
cnf(s2,plain,
( ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f243]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f244]) ).
cnf(s4,plain,
( spl0_1
| ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f298]) ).
cnf(s5,plain,
( spl0_1
| ~ spl0_4 ),
inference(sat_conversion,[],[f315]) ).
cnf(s6,plain,
~ spl0_1,
inference(rat,[],[s1,s3]) ).
cnf(s7,plain,
~ spl0_4,
inference(rat,[],[s5,s6]) ).
cnf(s8,plain,
spl0_3,
inference(rat,[],[s4,s3,s6]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s2,s7,s8]) ).
fof(f316,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC348-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n017.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 09:07:36 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 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
% 3.63/1.21 % (3418212)Input is clausal, will run a generic CNF schedule.
% 3.63/1.21 % (3418223)dis-21_1_sil=8000:lcm=predicate:random_seed=1623945262: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)
% 3.63/1.21 % (3418223)Instruction limit reached!
% 3.63/1.21 % (3418223)------------------------------
% 3.63/1.21 % (3418223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.21 % (3418223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.21 % (3418223)CaDiCaL version: 2.1.3
% 3.63/1.21 % (3418223)Termination reason: Instruction limit
% 3.63/1.21 % (3418223)Termination phase: Saturation
% 3.63/1.21 % (3418223)Time elapsed: 0.028 s
% 3.63/1.21 % (3418223)Peak memory usage: 89 MB
% 3.63/1.21 % (3418223)Instructions burned: 120 (million)
% 3.63/1.21 % (3418221)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2945353478:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.63/1.21 % (3418217)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=3402933815:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.63/1.21 % (3418222)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2272797581:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.63/1.21 % (3418218)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2028816492:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.63/1.21 % (3418220)lrs+10_1_sil=8000:sp=occurrence:random_seed=741729449:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.63/1.21 % (3418219)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2694716573:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.63/1.21 % (3418220)First to succeed.
% 3.63/1.21 % (3418220)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3418212"
% 3.63/1.21 % (3418222)Also succeeded, but the first one will report.
% 3.63/1.21 % (3418221)Instruction limit reached!
% 3.63/1.21 % (3418221)------------------------------
% 3.63/1.21 % (3418221)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.21 % (3418221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.21 % (3418221)CaDiCaL version: 2.1.3
% 3.63/1.21 % (3418221)Termination reason: Instruction limit
% 3.63/1.21 % (3418221)Termination phase: Saturation
% 3.63/1.21 % (3418221)Time elapsed: 0.054 s
% 3.63/1.21 % (3418221)Peak memory usage: 88 MB
% 3.63/1.21 % (3418221)Instructions burned: 115 (million)
% 3.63/1.21 % (3418225)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=1714277624:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.63/1.21 % (3418225)Instruction limit reached!
% 3.63/1.21 % (3418225)------------------------------
% 3.63/1.21 % (3418225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.21 % (3418225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.21 % (3418225)CaDiCaL version: 2.1.3
% 3.63/1.21 % (3418225)Termination reason: Instruction limit
% 3.63/1.22 % (3418225)Termination phase: Saturation
% 3.63/1.22 % (3418225)Time elapsed: 0.052 s
% 3.63/1.22 % (3418225)Peak memory usage: 89 MB
% 3.63/1.22 % (3418225)Instructions burned: 146 (million)
% 3.63/1.22 % (3418232)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1793101654: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)
% 3.63/1.22 % (3418220)Refutation found. Thanks to Tanya!
% 3.63/1.22 % SZS status Unsatisfiable for theBenchmark
% 3.63/1.22 % SZS output start Proof for theBenchmark
% See solution above
% 3.63/1.22 % (3418220)------------------------------
% 3.63/1.22 % (3418220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.22 % (3418220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.22 % (3418220)CaDiCaL version: 2.1.3
% 3.63/1.22 % (3418220)Termination reason: Refutation
% 3.63/1.22 % (3418220)Time elapsed: 0.006 s
% 3.63/1.22 % (3418220)Peak memory usage: 89 MB
% 3.63/1.22 % (3418220)Instructions burned: 6 (million)
% 3.63/1.22 % (3418220)------------------------------
% 3.63/1.22 % (3418220)------------------------------
% 3.63/1.22 % (3418212)Success in time 0.436 s
% 3.63/1.22 % Vampire exiting
%------------------------------------------------------------------------------