%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC294-1 : 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 : n014.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 01:03:19 PM UTC 2026
% Result : Unsatisfiable 3.40s 1.17s
% Output : Refutation 3.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of formulae : 40 ( 15 unt; 2 def)
% Number of atoms : 77 ( 12 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 68 ( 31 ~; 35 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
fof(f66,axiom,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).
fof(f80,axiom,
! [X0] :
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',clause101) ).
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(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
segmentP(sk4,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
~ strictorderedP(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( singletonP(sk3)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f211,plain,
~ strictorderedP(sk3),
inference(definition_unfolding,[],[f207,f205]) ).
fof(f227,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f229,plain,
( ~ neq(sk4,nil)
| spl0_1 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f231,definition,
( spl0_2
<=> singletonP(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f233,plain,
( singletonP(sk3)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f234,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f208,f231,f227]) ).
fof(f257,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| nil = sk4
| spl0_1 ),
inference(resolution,[],[f102,f229]) ).
fof(f262,plain,
( ~ ssList(nil)
| nil = sk4
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f257,f203]) ).
fof(f263,plain,
( nil = sk4
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f262,f8]) ).
fof(f267,plain,
( segmentP(nil,sk3)
| spl0_1 ),
inference(superposition,[],[f206,f263]) ).
fof(f278,plain,
( ~ ssList(sk3)
| nil = sk3
| spl0_1 ),
inference(resolution,[],[f267,f80]) ).
fof(f279,plain,
( nil = sk3
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f278,f202]) ).
fof(f282,plain,
( ~ strictorderedP(nil)
| spl0_1 ),
inference(superposition,[],[f211,f279]) ).
fof(f286,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f282,f3]) ).
fof(f287,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f286]) ).
fof(f289,plain,
( ~ ssList(sk3)
| sk3 = cons(skaf44(sk3),nil)
| ~ spl0_2 ),
inference(resolution,[],[f233,f103]) ).
fof(f290,plain,
( sk3 = cons(skaf44(sk3),nil)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f289,f202]) ).
fof(f295,plain,
( strictorderedP(sk3)
| ~ ssItem(skaf44(sk3))
| ~ spl0_2 ),
inference(superposition,[],[f66,f290]) ).
fof(f301,plain,
( ~ ssItem(skaf44(sk3))
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f295,f211]) ).
fof(f304,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f301,f47]) ).
fof(f305,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f304]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f234]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f287]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f305]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f306,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC294-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n014.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 08:55:16 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 3.40/1.17 % (1646311)Input is clausal, will run a generic CNF schedule.
% 3.40/1.17 % (1646316)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=2548146239:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.40/1.17 % (1646319)lrs+10_1_sil=8000:sp=occurrence:random_seed=2828106203:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.40/1.17 % (1646322)dis-21_1_sil=8000:lcm=predicate:random_seed=2160056786: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)
% 3.40/1.17 % (1646317)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3530919567:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.40/1.17 % (1646321)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=792523982:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.40/1.17 % (1646318)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=960168164:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.40/1.17 % (1646320)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2936630681:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.40/1.17 % (1646319)First to succeed.
% 3.40/1.17 % (1646319)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1646311"
% 3.40/1.17 % (1646321)Also succeeded, but the first one will report.
% 3.40/1.17 % (1646322)Instruction limit reached!
% 3.40/1.17 % (1646322)------------------------------
% 3.40/1.17 % (1646322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/1.17 % (1646322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.17 % (1646322)CaDiCaL version: 2.1.3
% 3.40/1.17 % (1646322)Termination reason: Instruction limit
% 3.40/1.17 % (1646322)Termination phase: Saturation
% 3.40/1.17 % (1646322)Time elapsed: 0.052 s
% 3.40/1.17 % (1646322)Peak memory usage: 88 MB
% 3.40/1.17 % (1646322)Instructions burned: 119 (million)
% 3.40/1.17 % (1646320)Instruction limit reached!
% 3.40/1.17 % (1646320)------------------------------
% 3.40/1.17 % (1646320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/1.17 % (1646320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.17 % (1646320)CaDiCaL version: 2.1.3
% 3.40/1.17 % (1646320)Termination reason: Instruction limit
% 3.40/1.17 % (1646320)Termination phase: Saturation
% 3.40/1.17 % (1646320)Time elapsed: 0.053 s
% 3.40/1.17 % (1646320)Peak memory usage: 88 MB
% 3.40/1.17 % (1646320)Instructions burned: 114 (million)
% 3.40/1.17 % (1646331)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1010449950: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)
% 3.40/1.17 % (1646330)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=2207335966:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.40/1.17 % (1646331)Also succeeded, but the first one will report.
% 3.40/1.17 % (1646319)Refutation found. Thanks to Tanya!
% 3.40/1.17 % SZS status Unsatisfiable for theBenchmark
% 3.40/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 3.40/1.17 % (1646319)------------------------------
% 3.40/1.17 % (1646319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/1.17 % (1646319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.17 % (1646319)CaDiCaL version: 2.1.3
% 3.40/1.17 % (1646319)Termination reason: Refutation
% 3.40/1.17 % (1646319)Time elapsed: 0.005 s
% 3.40/1.17 % (1646319)Peak memory usage: 89 MB
% 3.40/1.17 % (1646319)Instructions burned: 6 (million)
% 3.40/1.17 % (1646319)------------------------------
% 3.40/1.17 % (1646319)------------------------------
% 3.40/1.17 % (1646311)Success in time 0.408 s
% 3.40/1.17 % Vampire exiting
%------------------------------------------------------------------------------