%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC357-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 01:03:37 PM UTC 2026
% Result : Unsatisfiable 3.91s 1.32s
% Output : Refutation 3.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 16
% Syntax : Number of formulae : 47 ( 16 unt; 3 def)
% Number of atoms : 110 ( 11 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 132 ( 69 ~; 60 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
fof(f56,axiom,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f143,axiom,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X1,skaf45(X0,X1)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).
fof(f187,axiom,
! [X2,X3,X0,X1] :
( app(app(X0,X1),X2) != X3
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| segmentP(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f207,negated_conjecture,
~ segmentP(sk2,sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f211,negated_conjecture,
( nil = sk3
| frontsegP(sk4,sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f226,plain,
! [X2,X0,X1] :
( ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| segmentP(app(app(X0,X1),X2),X1) ),
inference(equality_resolution,[],[f187]) ).
fof(f243,definition,
( spl0_1
<=> frontsegP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f245,plain,
( frontsegP(sk4,sk3)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f247,definition,
( spl0_2
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f249,plain,
( nil = sk3
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f250,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f211,f247,f243]) ).
fof(f267,definition,
( spl0_6
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f268,plain,
( ssList(nil)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f303,plain,
spl0_6,
inference(avatar_split_clause,[],[f8,f267]) ).
fof(f307,plain,
~ segmentP(sk2,sk3),
inference(forward_demodulation,[],[f207,f205]) ).
fof(f308,plain,
~ segmentP(sk4,sk3),
inference(forward_demodulation,[],[f307,f204]) ).
fof(f314,plain,
( ~ segmentP(sk4,nil)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f308,f249]) ).
fof(f319,plain,
( ~ ssList(sk4)
| ~ spl0_2 ),
inference(resolution,[],[f56,f314]) ).
fof(f320,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f319,f203]) ).
fof(f321,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f320]) ).
fof(f420,plain,
( ~ ssList(sk3)
| ~ ssList(sk4)
| sk4 = app(sk3,skaf45(sk4,sk3))
| ~ spl0_1 ),
inference(resolution,[],[f143,f245]) ).
fof(f427,plain,
( ~ ssList(sk4)
| sk4 = app(sk3,skaf45(sk4,sk3))
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f420,f202]) ).
fof(f429,plain,
( sk4 = app(sk3,skaf45(sk4,sk3))
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f427,f203]) ).
fof(f716,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X1)
| segmentP(app(X0,X1),X0)
| ~ ssList(X0) ),
inference(superposition,[],[f226,f74]) ).
fof(f727,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X1)
| segmentP(app(X0,X1),X0) ),
inference(duplicate_literal_removal,[],[f716]) ).
fof(f732,plain,
( ! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| segmentP(app(X0,X1),X0) )
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f727,f268]) ).
fof(f737,plain,
( ! [X0,X1] :
( segmentP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f732,f85]) ).
fof(f1167,plain,
( segmentP(sk4,sk3)
| ~ ssList(skaf45(sk4,sk3))
| ~ ssList(sk3)
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f737,f429]) ).
fof(f1180,plain,
( ~ ssList(skaf45(sk4,sk3))
| ~ ssList(sk3)
| ~ spl0_1
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f1167,f308]) ).
fof(f1187,plain,
( ~ ssList(sk3)
| ~ spl0_1
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f1180,f51]) ).
fof(f1189,plain,
( $false
| ~ spl0_1
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f1187,f202]) ).
fof(f1190,plain,
( ~ spl0_1
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f1189]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f250]) ).
cnf(s14,plain,
spl0_6,
inference(sat_conversion,[],[f303]) ).
cnf(s18,plain,
~ spl0_2,
inference(sat_conversion,[],[f321]) ).
cnf(s29,plain,
( ~ spl0_1
| ~ spl0_6 ),
inference(sat_conversion,[],[f1190]) ).
cnf(s31,plain,
~ spl0_1,
inference(rat,[],[s29,s14]) ).
cnf(s38,plain,
$false,
inference(rat,[],[s1,s18,s31]) ).
fof(f1191,plain,
$false,
inference(avatar_sat_refutation,[],[s38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC357-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n016.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 09:20:03 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.91/1.32 % (3501572)Input is clausal, will run a generic CNF schedule.
% 3.91/1.32 % (3501581)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4218146183:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.91/1.32 % (3501581)Instruction limit reached!
% 3.91/1.32 % (3501581)------------------------------
% 3.91/1.32 % (3501581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.32 % (3501581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.32 % (3501581)CaDiCaL version: 2.1.3
% 3.91/1.32 % (3501581)Termination reason: Instruction limit
% 3.91/1.32 % (3501581)Termination phase: Saturation
% 3.91/1.32 % (3501581)Time elapsed: 0.033 s
% 3.91/1.32 % (3501581)Peak memory usage: 88 MB
% 3.91/1.32 % (3501581)Instructions burned: 115 (million)
% 3.91/1.32 % (3501580)lrs+10_1_sil=8000:sp=occurrence:random_seed=736749095:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.91/1.32 % (3501579)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1595466759:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.91/1.32 % (3501577)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=2582162892:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.91/1.32 % (3501578)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3809792208:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.91/1.32 % (3501583)dis-21_1_sil=8000:lcm=predicate:random_seed=2966649247: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)
% 3.91/1.32 % (3501582)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3076778206:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.91/1.32 % (3501582)First to succeed.
% 3.91/1.32 % (3501582)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3501572"
% 3.91/1.32 % (3501583)Instruction limit reached!
% 3.91/1.32 % (3501583)------------------------------
% 3.91/1.32 % (3501583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.32 % (3501583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.32 % (3501583)CaDiCaL version: 2.1.3
% 3.91/1.32 % (3501583)Termination reason: Instruction limit
% 3.91/1.32 % (3501583)Termination phase: Saturation
% 3.91/1.32 % (3501583)Time elapsed: 0.049 s
% 3.91/1.32 % (3501583)Peak memory usage: 88 MB
% 3.91/1.32 % (3501583)Instructions burned: 117 (million)
% 3.91/1.32 % (3501580)Instruction limit reached!
% 3.91/1.32 % (3501580)------------------------------
% 3.91/1.32 % (3501580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.32 % (3501580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.32 % (3501580)CaDiCaL version: 2.1.3
% 3.91/1.32 % (3501580)Termination reason: Instruction limit
% 3.91/1.32 % (3501580)Termination phase: Saturation
% 3.91/1.32 % (3501580)Time elapsed: 0.068 s
% 3.91/1.32 % (3501580)Peak memory usage: 89 MB
% 3.91/1.32 % (3501580)Instructions burned: 108 (million)
% 3.91/1.32 % (3501585)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=3276103702:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.91/1.32 % (3501585)Instruction limit reached!
% 3.91/1.32 % (3501585)------------------------------
% 3.91/1.32 % (3501585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.32 % (3501585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.32 % (3501585)CaDiCaL version: 2.1.3
% 3.91/1.32 % (3501585)Termination reason: Instruction limit
% 3.91/1.32 % (3501585)Termination phase: Saturation
% 3.91/1.32 % (3501585)Time elapsed: 0.052 s
% 3.91/1.32 % (3501585)Peak memory usage: 89 MB
% 3.91/1.32 % (3501585)Instructions burned: 145 (million)
% 3.91/1.32 % (3501592)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=889595232: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)
% 3.91/1.32 % (3501593)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=687741652:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.91/1.32 % (3501595)lrs+10_64_to=lpo:sil=8000:random_seed=1588871310:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 3.91/1.32 % (3501582)Refutation found. Thanks to Tanya!
% 3.91/1.32 % SZS status Unsatisfiable for theBenchmark
% 3.91/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 3.91/1.32 % (3501582)------------------------------
% 3.91/1.32 % (3501582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.32 % (3501582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.32 % (3501582)CaDiCaL version: 2.1.3
% 3.91/1.32 % (3501582)Termination reason: Refutation
% 3.91/1.32 % (3501582)Time elapsed: 0.026 s
% 3.91/1.32 % (3501582)Peak memory usage: 90 MB
% 3.91/1.32 % (3501582)Instructions burned: 33 (million)
% 3.91/1.32 % (3501582)------------------------------
% 3.91/1.32 % (3501582)------------------------------
% 3.91/1.32 % (3501572)Success in time 0.457 s
% 3.91/1.32 % Vampire exiting
%------------------------------------------------------------------------------