%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC273-1 : 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 : n001.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 01:03:14 PM UTC 2026
% Result : Unsatisfiable 5.22s 1.20s
% Output : Refutation 5.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of formulae : 29 ( 12 unt; 0 def)
% Number of atoms : 108 ( 3 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 151 ( 72 ~; 79 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27,axiom,
! [X0] : ssList(skaf68(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
fof(f28,axiom,
! [X0] : ssList(skaf67(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).
fof(f29,axiom,
! [X0] : ssList(skaf66(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).
fof(f30,axiom,
! [X0] : ssItem(skaf65(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).
fof(f31,axiom,
! [X0] : ssItem(skaf64(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).
fof(f91,axiom,
! [X0] :
( ~ leq(skaf64(X0),skaf65(X0))
| ~ ssList(X0)
| totalorderedP(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).
fof(f106,axiom,
! [X0,X1] :
( ~ lt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
fof(f177,axiom,
! [X0] :
( app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0
| totalorderedP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).
fof(f195,axiom,
! [X2,X3,X0,X1,X4,X5] :
( app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ strictorderedP(X5)
| ~ ssList(X5)
| lt(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).
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(f207,negated_conjecture,
strictorderedP(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f209,negated_conjecture,
~ totalorderedP(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f212,plain,
~ totalorderedP(sk3),
inference(definition_unfolding,[],[f209,f205]) ).
fof(f232,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| lt(X1,X3) ),
inference(equality_resolution,[],[f195]) ).
fof(f295,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(skaf67(X0))
| ~ ssList(skaf66(X0))
| ~ ssItem(skaf65(X0))
| ~ ssItem(skaf64(X0))
| ~ strictorderedP(X0)
| ~ ssList(skaf68(X0))
| lt(skaf64(X0),skaf65(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(superposition,[],[f232,f177]) ).
fof(f296,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(skaf67(X0))
| ~ ssList(skaf66(X0))
| ~ ssItem(skaf65(X0))
| ~ ssItem(skaf64(X0))
| ~ strictorderedP(X0)
| ~ ssList(skaf68(X0))
| lt(skaf64(X0),skaf65(X0))
| totalorderedP(X0) ),
inference(duplicate_literal_removal,[],[f295]) ).
fof(f297,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(skaf66(X0))
| ~ ssItem(skaf65(X0))
| ~ ssItem(skaf64(X0))
| ~ strictorderedP(X0)
| ~ ssList(skaf68(X0))
| lt(skaf64(X0),skaf65(X0))
| totalorderedP(X0) ),
inference(forward_subsumption_resolution,[],[f296,f28]) ).
fof(f300,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssItem(skaf65(X0))
| ~ ssItem(skaf64(X0))
| ~ strictorderedP(X0)
| ~ ssList(skaf68(X0))
| lt(skaf64(X0),skaf65(X0))
| totalorderedP(X0) ),
inference(forward_subsumption_resolution,[],[f297,f29]) ).
fof(f302,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssItem(skaf64(X0))
| ~ strictorderedP(X0)
| ~ ssList(skaf68(X0))
| lt(skaf64(X0),skaf65(X0))
| totalorderedP(X0) ),
inference(forward_subsumption_resolution,[],[f300,f30]) ).
fof(f303,plain,
! [X0] :
( ~ ssList(X0)
| ~ strictorderedP(X0)
| ~ ssList(skaf68(X0))
| lt(skaf64(X0),skaf65(X0))
| totalorderedP(X0) ),
inference(forward_subsumption_resolution,[],[f302,f31]) ).
fof(f304,plain,
! [X0] :
( lt(skaf64(X0),skaf65(X0))
| ~ strictorderedP(X0)
| ~ ssList(X0)
| totalorderedP(X0) ),
inference(forward_subsumption_resolution,[],[f303,f27]) ).
fof(f305,plain,
! [X0] :
( ~ strictorderedP(X0)
| ~ ssList(X0)
| totalorderedP(X0)
| ~ ssItem(skaf65(X0))
| ~ ssItem(skaf64(X0))
| leq(skaf64(X0),skaf65(X0)) ),
inference(resolution,[],[f304,f106]) ).
fof(f306,plain,
! [X0] :
( ~ strictorderedP(X0)
| ~ ssList(X0)
| totalorderedP(X0)
| ~ ssItem(skaf65(X0))
| ~ ssItem(skaf64(X0)) ),
inference(forward_subsumption_resolution,[],[f305,f91]) ).
fof(f307,plain,
! [X0] :
( ~ strictorderedP(X0)
| ~ ssList(X0)
| totalorderedP(X0)
| ~ ssItem(skaf64(X0)) ),
inference(forward_subsumption_resolution,[],[f306,f30]) ).
fof(f308,plain,
! [X0] :
( ~ ssList(X0)
| ~ strictorderedP(X0)
| totalorderedP(X0) ),
inference(forward_subsumption_resolution,[],[f307,f31]) ).
fof(f314,plain,
( ~ strictorderedP(sk3)
| totalorderedP(sk3) ),
inference(resolution,[],[f308,f202]) ).
fof(f325,plain,
totalorderedP(sk3),
inference(forward_subsumption_resolution,[],[f314,f207]) ).
fof(f326,plain,
$false,
inference(forward_subsumption_resolution,[],[f325,f212]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC273-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n001.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 08:54:17 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 4.51/1.11 % (225895)Input is clausal, will run a generic CNF schedule.
% 4.51/1.11 % (225902)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=687899560:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.51/1.11 % (225900)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=1156869529:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.51/1.11 % (225903)lrs+10_1_sil=8000:sp=occurrence:random_seed=2441893608:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.51/1.11 % (225901)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4271790340:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.51/1.11 % (225906)dis-21_1_sil=8000:lcm=predicate:random_seed=3558465099: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)
% 4.51/1.11 % (225904)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1831177170:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.51/1.11 % (225905)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1608953104:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.51/1.11 % (225906)Instruction limit reached!
% 4.51/1.11 % (225906)------------------------------
% 4.51/1.11 % (225906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.11 % (225906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.11 % (225906)CaDiCaL version: 2.1.3
% 4.51/1.11 % (225906)Termination reason: Instruction limit
% 4.51/1.11 % (225906)Termination phase: Saturation
% 4.51/1.11 % (225906)Time elapsed: 0.050 s
% 4.51/1.11 % (225906)Peak memory usage: 89 MB
% 4.51/1.11 % (225906)Instructions burned: 118 (million)
% 4.51/1.11 % (225904)Instruction limit reached!
% 4.51/1.11 % (225904)------------------------------
% 4.51/1.11 % (225904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.11 % (225904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.11 % (225904)CaDiCaL version: 2.1.3
% 4.51/1.11 % (225904)Termination reason: Instruction limit
% 4.51/1.11 % (225904)Termination phase: Saturation
% 4.51/1.11 % (225904)Time elapsed: 0.062 s
% 4.51/1.11 % (225904)Peak memory usage: 89 MB
% 4.51/1.11 % (225904)Instructions burned: 115 (million)
% 4.51/1.11 % (225903)Instruction limit reached!
% 4.51/1.11 % (225903)------------------------------
% 4.51/1.11 % (225903)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.11 % (225903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.11 % (225903)CaDiCaL version: 2.1.3
% 4.51/1.11 % (225903)Termination reason: Instruction limit
% 4.51/1.11 % (225903)Termination phase: Saturation
% 4.51/1.11 % (225903)Time elapsed: 0.069 s
% 4.51/1.11 % (225903)Peak memory usage: 90 MB
% 4.51/1.11 % (225903)Instructions burned: 108 (million)
% 4.51/1.11 % (225905)Instruction limit reached!
% 4.51/1.11 % (225905)------------------------------
% 4.51/1.11 % (225905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.11 % (225905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.11 % (225905)CaDiCaL version: 2.1.3
% 4.51/1.11 % (225905)Termination reason: Instruction limit
% 4.51/1.11 % (225905)Termination phase: Saturation
% 4.51/1.11 % (225905)Time elapsed: 0.127 s
% 4.51/1.11 % (225905)Peak memory usage: 90 MB
% 4.51/1.11 % (225905)Instructions burned: 181 (million)
% 4.51/1.11 % (225914)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=1844941881:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.51/1.11 % (225915)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1673946429: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)
% 4.51/1.11 % (225916)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1288216097:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.51/1.11 % (225914)Instruction limit reached!
% 4.51/1.11 % (225914)------------------------------
% 4.51/1.11 % (225914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.11 % (225914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.20 % (225914)CaDiCaL version: 2.1.3
% 5.22/1.20 % (225914)Termination reason: Instruction limit
% 5.22/1.20 % (225914)Termination phase: Saturation
% 5.22/1.20 % (225914)Time elapsed: 0.097 s
% 5.22/1.20 % (225914)Peak memory usage: 89 MB
% 5.22/1.20 % (225914)Instructions burned: 143 (million)
% 5.22/1.20 % (225916)Instruction limit reached!
% 5.22/1.20 % (225916)------------------------------
% 5.22/1.20 % (225916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.20 % (225916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.20 % (225916)CaDiCaL version: 2.1.3
% 5.22/1.20 % (225916)Termination reason: Instruction limit
% 5.22/1.20 % (225916)Termination phase: Saturation
% 5.22/1.20 % (225916)Time elapsed: 0.089 s
% 5.22/1.20 % (225916)Peak memory usage: 88 MB
% 5.22/1.20 % (225916)Instructions burned: 219 (million)
% 5.22/1.20 % (225915)Instruction limit reached!
% 5.22/1.20 % (225915)------------------------------
% 5.22/1.20 % (225915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.20 % (225915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.20 % (225915)CaDiCaL version: 2.1.3
% 5.22/1.20 % (225915)Termination reason: Instruction limit
% 5.22/1.20 % (225915)Termination phase: Saturation
% 5.22/1.20 % (225915)Time elapsed: 0.097 s
% 5.22/1.20 % (225915)Peak memory usage: 91 MB
% 5.22/1.20 % (225915)Instructions burned: 191 (million)
% 5.22/1.20 % (225917)lrs+10_64_to=lpo:sil=8000:random_seed=320957989:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 5.22/1.20 % (225902)First to succeed.
% 5.22/1.20 % (225902)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-225895"
% 5.22/1.20 % (225917)Instruction limit reached!
% 5.22/1.20 % (225917)------------------------------
% 5.22/1.20 % (225917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.20 % (225917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.20 % (225917)CaDiCaL version: 2.1.3
% 5.22/1.20 % (225917)Termination reason: Instruction limit
% 5.22/1.20 % (225917)Termination phase: Saturation
% 5.22/1.20 % (225917)Time elapsed: 0.070 s
% 5.22/1.20 % (225917)Peak memory usage: 90 MB
% 5.22/1.20 % (225917)Instructions burned: 126 (million)
% 5.22/1.20 % (225921)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1725172226:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 5.22/1.20 % (225923)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3277532268:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 5.22/1.20 % (225922)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2065569350:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 5.22/1.20 % (225902)Refutation found. Thanks to Tanya!
% 5.22/1.20 % SZS status Unsatisfiable for theBenchmark
% 5.22/1.20 % SZS output start Proof for theBenchmark
% See solution above
% 5.22/1.21 % (225902)------------------------------
% 5.22/1.21 % (225902)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.22/1.21 % (225902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.22/1.21 % (225902)CaDiCaL version: 2.1.3
% 5.22/1.21 % (225902)Termination reason: Refutation
% 5.22/1.21 % (225902)Time elapsed: 0.377 s
% 5.22/1.21 % (225902)Peak memory usage: 131 MB
% 5.22/1.21 % (225902)Instructions burned: 969 (million)
% 5.22/1.21 % (225902)------------------------------
% 5.22/1.21 % (225902)------------------------------
% 5.22/1.21 % (225895)Success in time 0.694 s
% 5.22/1.21 % Vampire exiting
%------------------------------------------------------------------------------