%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC309-1 : 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 : n005.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 01:03:24 PM UTC 2026
% Result : Unsatisfiable 3.64s 1.28s
% Output : Refutation 3.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of formulae : 47 ( 15 unt; 2 def)
% Number of atoms : 109 ( 35 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 133 ( 71 ~; 60 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).
fof(f112,axiom,
! [X0] :
( cons(skaf83(X0),skaf82(X0)) = X0
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
fof(f118,axiom,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
fof(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) = cons(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f126,plain,
! [X0,X1] :
( cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f125]) ).
fof(f201,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
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,
neq(sk2,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) != sk2
| app(X1,cons(X0,nil)) != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) != sk2
| sk1 != app(X1,cons(X0,nil)) ),
inference(reorient_equations,[],[f207]) ).
fof(f209,negated_conjecture,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(X1,cons(X0,nil)) = sk3
| app(cons(X0,nil),X1) != sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f210,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| sk3 = app(X1,cons(X0,nil))
| app(cons(X0,nil),X1) != sk4 ),
inference(reorient_equations,[],[f209]) ).
fof(f218,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f118]) ).
fof(f240,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f218]) ).
fof(f243,definition,
( spl0_1
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f244,plain,
( nil = sk4
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f245,plain,
( nil != sk4
| spl0_1 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f256,definition,
( spl0_4
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f257,plain,
( ssList(nil)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f292,plain,
spl0_4,
inference(avatar_split_clause,[],[f8,f256]) ).
fof(f295,plain,
( nil != sk2
| spl0_1 ),
inference(forward_demodulation,[],[f245,f204]) ).
fof(f296,plain,
! [X0,X1] :
( sk3 != app(X1,cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) != sk2 ),
inference(forward_demodulation,[],[f208,f205]) ).
fof(f297,plain,
! [X0,X1] :
( app(cons(X0,nil),X1) != sk2
| ~ ssItem(X0)
| ~ ssList(X1)
| sk3 = app(X1,cons(X0,nil)) ),
inference(forward_demodulation,[],[f210,f204]) ).
fof(f298,plain,
! [X0,X1] :
( app(cons(X0,nil),X1) != sk2
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(forward_subsumption_resolution,[],[f297,f296]) ).
fof(f459,plain,
! [X0,X1] :
( cons(X0,X1) != sk2
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(superposition,[],[f298,f126]) ).
fof(f467,plain,
! [X0,X1] :
( cons(X0,X1) != sk2
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f459]) ).
fof(f469,plain,
! [X0] :
( sk2 != X0
| ~ ssItem(skaf83(X0))
| ~ ssList(skaf82(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(superposition,[],[f467,f112]) ).
fof(f470,plain,
! [X0] :
( sk2 != X0
| ~ ssList(skaf82(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(forward_subsumption_resolution,[],[f469,f12]) ).
fof(f472,plain,
! [X0] :
( sk2 != X0
| ~ ssList(X0)
| nil = X0 ),
inference(forward_subsumption_resolution,[],[f470,f13]) ).
fof(f474,plain,
( ~ ssList(sk2)
| nil = sk2 ),
inference(equality_resolution,[],[f472]) ).
fof(f475,plain,
nil = sk2,
inference(forward_subsumption_resolution,[],[f474,f201]) ).
fof(f476,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f475,f295]) ).
fof(f477,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f476]) ).
fof(f478,plain,
( nil = sk2
| ~ spl0_1 ),
inference(superposition,[],[f244,f204]) ).
fof(f483,plain,
( neq(nil,nil)
| ~ spl0_1 ),
inference(superposition,[],[f206,f478]) ).
fof(f485,plain,
( ~ ssList(nil)
| ~ spl0_1 ),
inference(resolution,[],[f483,f240]) ).
fof(f486,plain,
( $false
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f485,f257]) ).
fof(f487,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f486]) ).
cnf(s11,plain,
spl0_4,
inference(sat_conversion,[],[f292]) ).
cnf(s13,plain,
spl0_1,
inference(sat_conversion,[],[f477]) ).
cnf(s14,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(sat_conversion,[],[f487]) ).
cnf(s15,plain,
~ spl0_4,
inference(rat,[],[s14,s13]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s11,s15]) ).
fof(f488,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC309-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.17 % Computer : n005.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Mon Sep 28 09:00:17 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 Running first-order theorem proving
% 0.10/0.21 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
% 3.64/1.28 % (652962)Input is clausal, will run a generic CNF schedule.
% 3.64/1.28 % (652971)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1207298815:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.64/1.28 % (652971)Instruction limit reached!
% 3.64/1.28 % (652971)------------------------------
% 3.64/1.28 % (652971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.28 % (652971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.28 % (652971)CaDiCaL version: 2.1.3
% 3.64/1.28 % (652971)Termination reason: Instruction limit
% 3.64/1.28 % (652971)Termination phase: Saturation
% 3.64/1.28 % (652971)Time elapsed: 0.027 s
% 3.64/1.28 % (652971)Peak memory usage: 88 MB
% 3.64/1.28 % (652971)Instructions burned: 117 (million)
% 3.64/1.28 % (652970)lrs+10_1_sil=8000:sp=occurrence:random_seed=3687068368:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.64/1.28 % (652968)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3648930682:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.64/1.28 % (652969)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=477698156:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.64/1.28 % (652967)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=478540411:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.64/1.28 % (652972)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2210505840:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.64/1.28 % (652973)dis-21_1_sil=8000:lcm=predicate:random_seed=379130783: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)
% 3.64/1.28 % (652972)First to succeed.
% 3.64/1.28 % (652972)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-652962"
% 3.64/1.28 % (652970)Instruction limit reached!
% 3.64/1.28 % (652970)------------------------------
% 3.64/1.28 % (652970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.28 % (652970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.28 % (652970)CaDiCaL version: 2.1.3
% 3.64/1.28 % (652970)Termination reason: Instruction limit
% 3.64/1.28 % (652970)Termination phase: Saturation
% 3.64/1.28 % (652970)Time elapsed: 0.061 s
% 3.64/1.28 % (652970)Peak memory usage: 89 MB
% 3.64/1.28 % (652970)Instructions burned: 107 (million)
% 3.64/1.28 % (652973)Instruction limit reached!
% 3.64/1.28 % (652973)------------------------------
% 3.64/1.28 % (652973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.28 % (652973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.28 % (652973)CaDiCaL version: 2.1.3
% 3.64/1.28 % (652973)Termination reason: Instruction limit
% 3.64/1.28 % (652973)Termination phase: Saturation
% 3.64/1.28 % (652973)Time elapsed: 0.063 s
% 3.64/1.28 % (652973)Peak memory usage: 90 MB
% 3.64/1.28 % (652973)Instructions burned: 118 (million)
% 3.64/1.28 % (652975)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=1555980362:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.64/1.28 % (652975)Refutation not found, incomplete strategy
% 3.64/1.28 % (652975)------------------------------
% 3.64/1.28 % (652975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.28 % (652975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.28 % (652975)CaDiCaL version: 2.1.3
% 3.64/1.28 % (652975)Termination reason: Refutation not found, incomplete strategy
% 3.64/1.28 % (652975)Time elapsed: 0.001 s
% 3.64/1.28 % (652975)Peak memory usage: 88 MB
% 3.64/1.28 % (652975)Instructions burned: 1 (million)
% 3.64/1.28 % (652983)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2450535324:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.64/1.28 % (652982)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1338595085: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)
% 3.64/1.28 % (652983)Refutation not found, incomplete strategy
% 3.64/1.28 % (652983)------------------------------
% 3.64/1.28 % (652983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.28 % (652983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.28 % (652983)CaDiCaL version: 2.1.3
% 3.64/1.28 % (652983)Termination reason: Refutation not found, incomplete strategy
% 3.64/1.28 % (652983)Time elapsed: 0.002 s
% 3.64/1.28 % (652983)Peak memory usage: 88 MB
% 3.64/1.28 % (652983)Instructions burned: 2 (million)
% 3.64/1.28 % (652975)------------------------------
% 3.64/1.28 % (652975)------------------------------
% 3.64/1.28 % (652972)Refutation found. Thanks to Tanya!
% 3.64/1.28 % SZS status Unsatisfiable for theBenchmark
% 3.64/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.64/1.28 % (652972)------------------------------
% 3.64/1.28 % (652972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.28 % (652972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.28 % (652972)CaDiCaL version: 2.1.3
% 3.64/1.28 % (652972)Termination reason: Refutation
% 3.64/1.28 % (652972)Time elapsed: 0.013 s
% 3.64/1.28 % (652972)Peak memory usage: 90 MB
% 3.64/1.28 % (652972)Instructions burned: 17 (million)
% 3.64/1.28 % (652972)------------------------------
% 3.64/1.28 % (652972)------------------------------
% 3.64/1.28 % (652962)Success in time 0.438 s
% 3.64/1.28 % Vampire exiting
%------------------------------------------------------------------------------