%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SCT144+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 12:37:00 PM UTC 2026
% Result : ContradictoryAxioms 6.01s 1.83s
% Output : Refutation 6.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 11 unt; 0 def)
% Number of atoms : 25 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 8 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-4 aty)
% Number of variables : 91 ( 91 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f524,axiom,
! [X0,X1] : hAPP(c_COMBI(X1),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__COMBI__1) ).
fof(f526,axiom,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(c_COMBB(X5,X4,X3,X2),X1),X0) = hAPP(X2,hAPP(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__COMBB__1) ).
fof(f528,axiom,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X5,X4,X3),X2),X1),X0) = hAPP(hAPP(X2,X0),hAPP(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__COMBS__1) ).
fof(f531,axiom,
! [X0] :
( ~ hBOOL(hAPP(c_fNot,X0))
| ~ hBOOL(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__fNot__1) ).
fof(f532,axiom,
! [X0] :
( hBOOL(X0)
| hBOOL(hAPP(c_fNot,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__fNot__2) ).
fof(f1982,plain,
! [X0,X1] : hAPP(c_COMBI(X1),X0) = X0,
inference(cnf_transformation,[],[f524]) ).
fof(f1984,plain,
! [X2,X3,X0,X1,X4,X5] : hAPP(hAPP(c_COMBB(X5,X4,X3,X2),X1),X0) = hAPP(X2,hAPP(X1,X0)),
inference(cnf_transformation,[],[f526]) ).
fof(f1986,plain,
! [X2,X3,X0,X1,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X5,X4,X3),X2),X1),X0) = hAPP(hAPP(X2,X0),hAPP(X1,X0)),
inference(cnf_transformation,[],[f528]) ).
fof(f1989,plain,
! [X0] :
( ~ hBOOL(hAPP(c_fNot,X0))
| ~ hBOOL(X0) ),
inference(cnf_transformation,[],[f531]) ).
fof(f1990,plain,
! [X0] :
( hBOOL(hAPP(c_fNot,X0))
| hBOOL(X0) ),
inference(cnf_transformation,[],[f532]) ).
fof(f2269,plain,
! [X2,X3,X0,X1,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),X4),c_COMBI(X5)),X0) = hAPP(hAPP(X4,X0),X0),
inference(superposition,[],[f1986,f1982]) ).
fof(f2296,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),c_COMBB(X3,X4,X5,X6)),c_COMBI(X7)),X8) = hAPP(X6,hAPP(X8,X8)),
inference(superposition,[],[f1984,f2269]) ).
fof(f2338,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( hBOOL(hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),c_COMBB(X3,X4,X5,c_fNot)),c_COMBI(X6)),X7))
| hBOOL(hAPP(X7,X7)) ),
inference(superposition,[],[f1990,f2296]) ).
fof(f2339,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ hBOOL(hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),c_COMBB(X3,X4,X5,c_fNot)),c_COMBI(X6)),X7))
| ~ hBOOL(hAPP(X7,X7)) ),
inference(superposition,[],[f1989,f2296]) ).
fof(f2344,plain,
! [X2,X3,X0,X1,X6,X4,X5] : hBOOL(hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),c_COMBB(X3,X4,X5,c_fNot)),c_COMBI(X6)),hAPP(hAPP(c_COMBS(X0,X1,X2),c_COMBB(X3,X4,X5,c_fNot)),c_COMBI(X6)))),
inference(factoring,[],[f2338]) ).
fof(f2362,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( ~ hBOOL(hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),c_COMBB(X3,X4,X5,c_fNot)),c_COMBI(X6)),hAPP(hAPP(c_COMBS(X0,X1,X2),c_COMBB(X3,X4,X5,c_fNot)),c_COMBI(X6))))
| hBOOL(hAPP(hAPP(hAPP(c_COMBS(X7,X8,X9),c_COMBB(X10,X11,X12,c_fNot)),c_COMBI(X13)),hAPP(hAPP(c_COMBS(X0,X1,X2),c_COMBB(X3,X4,X5,c_fNot)),c_COMBI(X6)))) ),
inference(resolution,[],[f2339,f2338]) ).
fof(f2372,plain,
! [X2,X3,X0,X1,X6,X4,X5] : ~ hBOOL(hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),c_COMBB(X3,X4,X5,c_fNot)),c_COMBI(X6)),hAPP(hAPP(c_COMBS(X0,X1,X2),c_COMBB(X3,X4,X5,c_fNot)),c_COMBI(X6)))),
inference(forward_subsumption_resolution,[],[f2362,f2339]) ).
fof(f2375,plain,
$false,
inference(forward_subsumption_resolution,[],[f2372,f2344]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SCT144+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n009.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 23:48:30 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 4.87/1.64 % (2534679)Detected formulas, will run a generic FOF schedule.
% 4.87/1.64 % (2534684)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=3717247488:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.87/1.64 % (2534688)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2226395413:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.87/1.64 % (2534687)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1070611624:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.87/1.64 % (2534690)dis-21_1_sil=8000:lcm=predicate:random_seed=2282399010:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.87/1.64 % (2534686)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3121077140:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.87/1.64 % (2534685)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3590169658:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.87/1.64 % (2534689)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1138426792:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.87/1.64 % (2534687)Instruction limit reached!
% 4.87/1.64 % (2534687)------------------------------
% 4.87/1.64 % (2534687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.64 % (2534687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.64 % (2534687)CaDiCaL version: 2.1.3
% 4.87/1.64 % (2534687)Termination reason: Instruction limit
% 4.87/1.64 % (2534687)Termination phase: Saturation
% 4.87/1.64 % (2534687)Time elapsed: 0.054 s
% 4.87/1.64 % (2534687)Peak memory usage: 89 MB
% 4.87/1.64 % (2534687)Instructions burned: 110 (million)
% 4.87/1.64 % (2534690)Instruction limit reached!
% 4.87/1.64 % (2534690)------------------------------
% 4.87/1.64 % (2534690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.64 % (2534690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.64 % (2534690)CaDiCaL version: 2.1.3
% 4.87/1.64 % (2534690)Termination reason: Instruction limit
% 4.87/1.64 % (2534690)Termination phase: Saturation
% 4.87/1.64 % (2534690)Time elapsed: 0.064 s
% 4.87/1.64 % (2534690)Peak memory usage: 89 MB
% 4.87/1.64 % (2534690)Instructions burned: 129 (million)
% 4.87/1.64 % (2534688)Instruction limit reached!
% 4.87/1.64 % (2534688)------------------------------
% 4.87/1.64 % (2534688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.64 % (2534688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.64 % (2534688)CaDiCaL version: 2.1.3
% 4.87/1.64 % (2534688)Termination reason: Instruction limit
% 4.87/1.64 % (2534688)Termination phase: Saturation
% 4.87/1.64 % (2534688)Time elapsed: 0.071 s
% 4.87/1.64 % (2534688)Peak memory usage: 89 MB
% 4.87/1.64 % (2534688)Instructions burned: 120 (million)
% 4.87/1.64 % (2534689)Instruction limit reached!
% 4.87/1.64 % (2534689)------------------------------
% 4.87/1.64 % (2534689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.87/1.64 % (2534689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.87/1.64 % (2534689)CaDiCaL version: 2.1.3
% 4.87/1.64 % (2534689)Termination reason: Instruction limit
% 4.87/1.64 % (2534689)Termination phase: Saturation
% 4.87/1.64 % (2534689)Time elapsed: 0.075 s
% 4.87/1.64 % (2534689)Peak memory usage: 90 MB
% 4.87/1.64 % (2534689)Instructions burned: 140 (million)
% 4.87/1.64 % (2534698)lrs+10_1_sil=8000:sp=occurrence:random_seed=776074035:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.87/1.64 % (2534700)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2347749201:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.87/1.64 % (2534699)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1890431055:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.87/1.64 % (2534701)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3744186174:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.87/1.64 % (2534699)Instruction limit reached!
% 6.01/1.83 % (2534699)------------------------------
% 6.01/1.83 % (2534699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.01/1.83 % (2534699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.83 % (2534699)CaDiCaL version: 2.1.3
% 6.01/1.83 % (2534699)Termination reason: Instruction limit
% 6.01/1.83 % (2534699)Termination phase: Saturation
% 6.01/1.83 % (2534699)Time elapsed: 0.082 s
% 6.01/1.83 % (2534699)Peak memory usage: 90 MB
% 6.01/1.83 % (2534699)Instructions burned: 157 (million)
% 6.01/1.83 % (2534701)Instruction limit reached!
% 6.01/1.83 % (2534701)------------------------------
% 6.01/1.83 % (2534701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.01/1.83 % (2534701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.83 % (2534701)CaDiCaL version: 2.1.3
% 6.01/1.83 % (2534701)Termination reason: Instruction limit
% 6.01/1.83 % (2534701)Termination phase: Saturation
% 6.01/1.83 % (2534701)Time elapsed: 0.134 s
% 6.01/1.83 % (2534701)Peak memory usage: 90 MB
% 6.01/1.83 % (2534701)Instructions burned: 249 (million)
% 6.01/1.83 % (2534698)Instruction limit reached!
% 6.01/1.83 % (2534698)------------------------------
% 6.01/1.83 % (2534698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.01/1.83 % (2534698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.83 % (2534698)CaDiCaL version: 2.1.3
% 6.01/1.83 % (2534698)Termination reason: Instruction limit
% 6.01/1.83 % (2534698)Termination phase: Saturation
% 6.01/1.83 % (2534698)Time elapsed: 0.160 s
% 6.01/1.83 % (2534698)Peak memory usage: 91 MB
% 6.01/1.83 % (2534698)Instructions burned: 286 (million)
% 6.01/1.83 % (2534700)Instruction limit reached!
% 6.01/1.83 % (2534700)------------------------------
% 6.01/1.83 % (2534700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.01/1.83 % (2534700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.83 % (2534700)CaDiCaL version: 2.1.3
% 6.01/1.83 % (2534700)Termination reason: Instruction limit
% 6.01/1.83 % (2534700)Termination phase: Saturation
% 6.01/1.83 % (2534700)Time elapsed: 0.192 s
% 6.01/1.83 % (2534700)Peak memory usage: 92 MB
% 6.01/1.83 % (2534700)Instructions burned: 326 (million)
% 6.01/1.83 % (2534706)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=364389797:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.01/1.83 % (2534684)First to succeed.
% 6.01/1.83 % (2534684)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2534679"
% 6.01/1.83 % (2534707)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3868156084:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.01/1.83 % (2534708)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1202322600:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.01/1.83 % (2534709)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2873442441:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.01/1.83 % (2534708)Instruction limit reached!
% 6.01/1.83 % (2534708)------------------------------
% 6.01/1.83 % (2534708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.01/1.83 % (2534708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.83 % (2534708)CaDiCaL version: 2.1.3
% 6.01/1.83 % (2534708)Termination reason: Instruction limit
% 6.01/1.83 % (2534708)Termination phase: Saturation
% 6.01/1.83 % (2534708)Time elapsed: 0.055 s
% 6.01/1.83 % (2534708)Peak memory usage: 89 MB
% 6.01/1.83 % (2534708)Instructions burned: 114 (million)
% 6.01/1.83 % (2534709)Instruction limit reached!
% 6.01/1.83 % (2534709)------------------------------
% 6.01/1.83 % (2534709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.01/1.83 % (2534709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.83 % (2534709)CaDiCaL version: 2.1.3
% 6.01/1.83 % (2534709)Termination reason: Instruction limit
% 6.01/1.83 % (2534709)Termination phase: Saturation
% 6.01/1.83 % (2534709)Time elapsed: 0.056 s
% 6.01/1.83 % (2534709)Peak memory usage: 89 MB
% 6.01/1.83 % (2534709)Instructions burned: 127 (million)
% 6.01/1.83 % (2534706)Instruction limit reached!
% 6.01/1.83 % (2534706)------------------------------
% 6.01/1.83 % (2534706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.01/1.83 % (2534706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.83 % (2534706)CaDiCaL version: 2.1.3
% 6.01/1.83 % (2534706)Termination reason: Instruction limit
% 6.01/1.83 % (2534706)Termination phase: Saturation
% 6.01/1.83 % (2534706)Time elapsed: 0.163 s
% 6.01/1.83 % (2534706)Peak memory usage: 91 MB
% 6.01/1.83 % (2534706)Instructions burned: 295 (million)
% 6.01/1.83 % (2534684)Refutation found. Thanks to Tanya!
% 6.01/1.83 % SZS status ContradictoryAxioms for theBenchmark
% 6.01/1.83 % SZS output start Proof for theBenchmark
% See solution above
% 6.01/1.83 % (2534684)------------------------------
% 6.01/1.83 % (2534684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.01/1.83 % (2534684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.83 % (2534684)CaDiCaL version: 2.1.3
% 6.01/1.83 % (2534684)Termination reason: Refutation
% 6.01/1.83 % (2534684)Time elapsed: 0.497 s
% 6.01/1.83 % (2534684)Peak memory usage: 142 MB
% 6.01/1.83 % (2534684)Instructions burned: 1460 (million)
% 6.01/1.83 % (2534684)------------------------------
% 6.01/1.83 % (2534684)------------------------------
% 6.01/1.83 % (2534679)Success in time 0.796 s
% 6.01/1.83 % Vampire exiting
%------------------------------------------------------------------------------