%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC277-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 01:05:22 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.26s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 17
% Syntax : Number of formulae : 50 ( 17 unt; 4 def)
% Number of atoms : 106 ( 12 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 105 ( 49 ~; 52 |; 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause4) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause47) ).
fof(f67,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause67) ).
fof(f80,axiom,
! [X0] :
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause80) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',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/Axioms/SWC001-0.ax',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(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,
~ totalorderedP(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( singletonP(sk3)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f211,plain,
~ totalorderedP(sk3),
inference(definition_unfolding,[],[f207,f205]) ).
fof(f243,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f245,plain,
( ~ neq(sk4,nil)
| spl0_1 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f247,definition,
( spl0_2
<=> singletonP(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f249,plain,
( singletonP(sk3)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f250,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f208,f247,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(f261,definition,
( spl0_5
<=> ! [X1] :
( ~ ssItem(X1)
| totalorderedP(cons(X1,nil)) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f262,plain,
( ! [X1] :
( totalorderedP(cons(X1,nil))
| ~ ssItem(X1) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f290,plain,
spl0_5,
inference(avatar_split_clause,[],[f67,f261]) ).
fof(f292,plain,
spl0_4,
inference(avatar_split_clause,[],[f8,f256]) ).
fof(f481,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| nil = sk4
| spl0_1 ),
inference(resolution,[],[f102,f245]) ).
fof(f484,plain,
( ~ ssList(nil)
| nil = sk4
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f481,f203]) ).
fof(f485,plain,
( nil = sk4
| spl0_1
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f484,f257]) ).
fof(f487,plain,
( segmentP(nil,sk3)
| spl0_1
| ~ spl0_4 ),
inference(superposition,[],[f206,f485]) ).
fof(f492,plain,
( ~ ssList(sk3)
| nil = sk3
| spl0_1
| ~ spl0_4 ),
inference(resolution,[],[f487,f80]) ).
fof(f493,plain,
( nil = sk3
| spl0_1
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f492,f202]) ).
fof(f498,plain,
( ~ totalorderedP(nil)
| spl0_1
| ~ spl0_4 ),
inference(superposition,[],[f211,f493]) ).
fof(f504,plain,
( $false
| spl0_1
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f498,f4]) ).
fof(f505,plain,
( spl0_1
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f504]) ).
fof(f507,plain,
( ~ ssList(sk3)
| sk3 = cons(skaf44(sk3),nil)
| ~ spl0_2 ),
inference(resolution,[],[f249,f103]) ).
fof(f508,plain,
( sk3 = cons(skaf44(sk3),nil)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f507,f202]) ).
fof(f573,plain,
( totalorderedP(sk3)
| ~ ssItem(skaf44(sk3))
| ~ spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f262,f508]) ).
fof(f574,plain,
( ~ ssItem(skaf44(sk3))
| ~ spl0_2
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f573,f211]) ).
fof(f575,plain,
( $false
| ~ spl0_2
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f574,f47]) ).
fof(f576,plain,
( ~ spl0_2
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f575]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f250]) ).
cnf(s9,plain,
spl0_5,
inference(sat_conversion,[],[f290]) ).
cnf(s11,plain,
spl0_4,
inference(sat_conversion,[],[f292]) ).
cnf(s12,plain,
( spl0_1
| ~ spl0_4 ),
inference(sat_conversion,[],[f505]) ).
cnf(s14,plain,
( ~ spl0_2
| ~ spl0_5 ),
inference(sat_conversion,[],[f576]) ).
cnf(s15,plain,
spl0_1,
inference(rat,[],[s12,s11]) ).
cnf(s16,plain,
~ spl0_2,
inference(rat,[],[s14,s9]) ).
cnf(s21,plain,
$false,
inference(rat,[],[s1,s16,s15]) ).
fof(f577,plain,
$false,
inference(avatar_sat_refutation,[],[s21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC277-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.16 % Computer : n003.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 08:51:57 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 Running first-order model finding
% 0.09/0.19 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.26 % (1438968)Will run a generic schedule for satisfiability detection.
% 0.09/0.26 % (1438975)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=833771437:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.26 % (1438974)% WARNING: option uhcvi not known.
% 0.09/0.26 % (1438973)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3322536210_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.26 % (1438976)dis+10_1_sil=32000:sp=arity:random_seed=1662487388:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.26 % (1438977)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1605055147:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.26 % (1438978)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3532723568:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.26 % (1438979)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4094069685:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.26 % (1438974)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=588760462:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.26 % (1438976) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1438968-1438976"...
% 0.09/0.26 % TRYING [1]
% 0.09/0.26 % (1438976)...printing done.
% 0.09/0.26 % TRYING [2]
% 0.09/0.26 % (1438977) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1438968-1438977"...
% 0.09/0.26 % (1438976)Refutation found. Thanks to Tanya!
% 0.09/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.26 % (1438976)------------------------------
% 0.09/0.26 % (1438976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.26 % (1438976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.26 % (1438976)CaDiCaL version: 2.1.3
% 0.09/0.26 % (1438976)Termination reason: Refutation
% 0.09/0.26 % (1438976)Time elapsed: 0.011 s
% 0.09/0.26 % (1438976)Peak memory usage: 12 MB
% 0.09/0.26 % (1438976)Instructions burned: 16 (million)
% 0.09/0.26 % (1438968)Success in time 0.057 s
% 0.09/0.26 % Vampire exiting
%------------------------------------------------------------------------------