%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC200-1 : 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 : n018.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 01:02:55 PM UTC 2026
% Result : Unsatisfiable 3.35s 1.22s
% Output : Refutation 3.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 26 ( 9 unt; 0 def)
% Number of atoms : 63 ( 17 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 74 ( 37 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f103,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f173,axiom,
! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| memberP(X1,X2)
| X2 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).
fof(f174,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| memberP(X1,X2)
| X0 = X2 ),
inference(reorient_equations,[],[f173]) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
singletonP(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
! [X0] :
( ssItem(sk5(X0))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
! [X0] :
( ~ ssItem(X0)
| memberP(sk1,sk5(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
! [X0] :
( ~ ssItem(X0)
| X0 != sk5(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,plain,
! [X0] :
( sk5(X0) != X0
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f209]) ).
fof(f213,plain,
! [X0] :
( memberP(sk3,sk5(X0))
| ~ ssItem(X0) ),
inference(definition_unfolding,[],[f208,f205]) ).
fof(f237,plain,
( ~ ssList(sk3)
| sk3 = cons(skaf44(sk3),nil) ),
inference(resolution,[],[f103,f206]) ).
fof(f238,plain,
sk3 = cons(skaf44(sk3),nil),
inference(forward_subsumption_resolution,[],[f237,f202]) ).
fof(f396,plain,
! [X0] :
( ~ memberP(sk3,X0)
| ~ ssList(nil)
| ~ ssItem(skaf44(sk3))
| ~ ssItem(X0)
| memberP(nil,X0)
| skaf44(sk3) = X0 ),
inference(superposition,[],[f174,f238]) ).
fof(f399,plain,
! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(skaf44(sk3))
| ~ ssItem(X0)
| memberP(nil,X0)
| skaf44(sk3) = X0 ),
inference(forward_subsumption_resolution,[],[f396,f8]) ).
fof(f400,plain,
! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| memberP(nil,X0)
| skaf44(sk3) = X0 ),
inference(forward_subsumption_resolution,[],[f399,f47]) ).
fof(f401,plain,
! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| skaf44(sk3) = X0 ),
inference(forward_subsumption_resolution,[],[f400,f71]) ).
fof(f402,plain,
! [X0] :
( ~ ssItem(sk5(X0))
| sk5(X0) = skaf44(sk3)
| ~ ssItem(X0) ),
inference(resolution,[],[f401,f213]) ).
fof(f404,plain,
! [X0] :
( ~ ssItem(X0)
| sk5(X0) = skaf44(sk3) ),
inference(forward_subsumption_resolution,[],[f402,f207]) ).
fof(f414,plain,
! [X0] : skaf44(sk3) = sk5(skaf44(X0)),
inference(resolution,[],[f404,f47]) ).
fof(f426,plain,
! [X0] :
( skaf44(X0) != skaf44(sk3)
| ~ ssItem(skaf44(X0)) ),
inference(superposition,[],[f210,f414]) ).
fof(f428,plain,
! [X0] : skaf44(X0) != skaf44(sk3),
inference(forward_subsumption_resolution,[],[f426,f47]) ).
fof(f436,plain,
$false,
inference(equality_resolution,[],[f428]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC200-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n018.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 08:28:39 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 3.35/1.22 % (3226967)Input is clausal, will run a generic CNF schedule.
% 3.35/1.22 % (3226977)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3210035129:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.35/1.22 % (3226973)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4286729916:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.35/1.22 % (3226975)lrs+10_1_sil=8000:sp=occurrence:random_seed=2028349426:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.35/1.22 % (3226976)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3474727107:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.35/1.22 % (3226978)dis-21_1_sil=8000:lcm=predicate:random_seed=2684163437: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)
% 3.35/1.22 % (3226972)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=1923773960:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.35/1.22 % (3226974)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2282963182:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.35/1.22 % (3226975)First to succeed.
% 3.35/1.22 % (3226975)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3226967"
% 3.35/1.22 % (3226976)Instruction limit reached!
% 3.35/1.22 % (3226976)------------------------------
% 3.35/1.22 % (3226976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.35/1.22 % (3226976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/1.22 % (3226976)CaDiCaL version: 2.1.3
% 3.35/1.22 % (3226976)Termination reason: Instruction limit
% 3.35/1.22 % (3226976)Termination phase: Saturation
% 3.35/1.22 % (3226976)Time elapsed: 0.062 s
% 3.35/1.22 % (3226976)Peak memory usage: 88 MB
% 3.35/1.22 % (3226976)Instructions burned: 114 (million)
% 3.35/1.22 % (3226977)Instruction limit reached!
% 3.35/1.22 % (3226977)------------------------------
% 3.35/1.22 % (3226977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.35/1.22 % (3226977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/1.22 % (3226977)CaDiCaL version: 2.1.3
% 3.35/1.22 % (3226977)Termination reason: Instruction limit
% 3.35/1.22 % (3226977)Termination phase: Saturation
% 3.35/1.22 % (3226977)Time elapsed: 0.066 s
% 3.35/1.22 % (3226977)Peak memory usage: 90 MB
% 3.35/1.22 % (3226977)Instructions burned: 181 (million)
% 3.35/1.22 % (3226978)Instruction limit reached!
% 3.35/1.22 % (3226978)------------------------------
% 3.35/1.22 % (3226978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.35/1.22 % (3226978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/1.22 % (3226978)CaDiCaL version: 2.1.3
% 3.35/1.22 % (3226978)Termination reason: Instruction limit
% 3.35/1.22 % (3226978)Termination phase: Saturation
% 3.35/1.22 % (3226978)Time elapsed: 0.066 s
% 3.35/1.22 % (3226978)Peak memory usage: 90 MB
% 3.35/1.22 % (3226978)Instructions burned: 117 (million)
% 3.35/1.22 % (3226987)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1374955886: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)
% 3.35/1.22 % (3226988)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1324318810:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.35/1.22 % (3226986)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=2018046899:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.35/1.22 % (3226988)Refutation not found, incomplete strategy
% 3.35/1.22 % (3226988)------------------------------
% 3.35/1.22 % (3226988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.35/1.22 % (3226988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/1.22 % (3226988)CaDiCaL version: 2.1.3
% 3.35/1.22 % (3226988)Termination reason: Refutation not found, incomplete strategy
% 3.35/1.22 % (3226988)Time elapsed: 0.003 s
% 3.35/1.22 % (3226988)Peak memory usage: 88 MB
% 3.35/1.22 % (3226988)Instructions burned: 2 (million)
% 3.35/1.22 % (3226986)Refutation not found, incomplete strategy
% 3.35/1.22 % (3226986)------------------------------
% 3.35/1.22 % (3226986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.35/1.22 % (3226986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/1.22 % (3226986)CaDiCaL version: 2.1.3
% 3.35/1.22 % (3226986)Termination reason: Refutation not found, incomplete strategy
% 3.35/1.22 % (3226986)Time elapsed: 0.003 s
% 3.35/1.22 % (3226986)Peak memory usage: 88 MB
% 3.35/1.22 % (3226986)Instructions burned: 2 (million)
% 3.35/1.22 % (3226975)Refutation found. Thanks to Tanya!
% 3.35/1.22 % SZS status Unsatisfiable for theBenchmark
% 3.35/1.22 % SZS output start Proof for theBenchmark
% See solution above
% 3.35/1.22 % (3226975)------------------------------
% 3.35/1.22 % (3226975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.35/1.22 % (3226975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/1.22 % (3226975)CaDiCaL version: 2.1.3
% 3.35/1.22 % (3226975)Termination reason: Refutation
% 3.35/1.22 % (3226975)Time elapsed: 0.008 s
% 3.35/1.22 % (3226975)Peak memory usage: 89 MB
% 3.35/1.22 % (3226975)Instructions burned: 10 (million)
% 3.35/1.22 % (3226975)------------------------------
% 3.35/1.22 % (3226975)------------------------------
% 3.35/1.22 % (3226967)Success in time 0.419 s
% 3.35/1.22 % Vampire exiting
%------------------------------------------------------------------------------