%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SCT142+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 : n010.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 9.56s 2.54s
% Output : Refutation 9.56s
% 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(f1971,plain,
! [X0,X1] : hAPP(c_COMBI(X1),X0) = X0,
inference(cnf_transformation,[],[f524]) ).
fof(f1973,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(f1975,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(f1978,plain,
! [X0] :
( ~ hBOOL(hAPP(c_fNot,X0))
| ~ hBOOL(X0) ),
inference(cnf_transformation,[],[f531]) ).
fof(f1979,plain,
! [X0] :
( hBOOL(hAPP(c_fNot,X0))
| hBOOL(X0) ),
inference(cnf_transformation,[],[f532]) ).
fof(f2275,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,[],[f1975,f1971]) ).
fof(f2302,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,[],[f1973,f2275]) ).
fof(f2344,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,[],[f1979,f2302]) ).
fof(f2345,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,[],[f1978,f2302]) ).
fof(f2350,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,[],[f2344]) ).
fof(f2368,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,[],[f2345,f2344]) ).
fof(f2378,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,[],[f2368,f2345]) ).
fof(f2381,plain,
$false,
inference(forward_subsumption_resolution,[],[f2378,f2350]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SCT142+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.43 % Computer : n010.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sun Sep 27 23:48:32 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.49 Running first-order theorem proving
% 0.24/0.49 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
% 9.56/2.54 % (1433746)Detected formulas, will run a generic FOF schedule.
% 9.56/2.54 % (1433753)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=4242083390:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.56/2.54 % (1433755)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=1423742436:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.56/2.54 % (1433756)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3667012024:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.56/2.54 % (1433754)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=348982086:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.56/2.54 % (1433759)dis-21_1_sil=8000:lcm=predicate:random_seed=3476883725: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)
% 9.56/2.54 % (1433758)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2294527893:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.56/2.54 % (1433757)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2229290217:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.56/2.54 % (1433756)Instruction limit reached!
% 9.56/2.54 % (1433756)------------------------------
% 9.56/2.54 % (1433756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.54 % (1433756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.54 % (1433756)CaDiCaL version: 2.1.3
% 9.56/2.54 % (1433756)Termination reason: Instruction limit
% 9.56/2.54 % (1433756)Termination phase: Saturation
% 9.56/2.54 % (1433756)Time elapsed: 0.096 s
% 9.56/2.54 % (1433756)Peak memory usage: 89 MB
% 9.56/2.54 % (1433756)Instructions burned: 109 (million)
% 9.56/2.54 % (1433757)Instruction limit reached!
% 9.56/2.54 % (1433757)------------------------------
% 9.56/2.54 % (1433757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.54 % (1433757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.54 % (1433757)CaDiCaL version: 2.1.3
% 9.56/2.54 % (1433757)Termination reason: Instruction limit
% 9.56/2.54 % (1433757)Termination phase: Saturation
% 9.56/2.54 % (1433757)Time elapsed: 0.114 s
% 9.56/2.54 % (1433757)Peak memory usage: 89 MB
% 9.56/2.54 % (1433757)Instructions burned: 119 (million)
% 9.56/2.54 % (1433759)Instruction limit reached!
% 9.56/2.54 % (1433759)------------------------------
% 9.56/2.54 % (1433759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.54 % (1433759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.54 % (1433759)CaDiCaL version: 2.1.3
% 9.56/2.54 % (1433759)Termination reason: Instruction limit
% 9.56/2.54 % (1433759)Termination phase: Saturation
% 9.56/2.54 % (1433759)Time elapsed: 0.116 s
% 9.56/2.54 % (1433759)Peak memory usage: 89 MB
% 9.56/2.54 % (1433759)Instructions burned: 129 (million)
% 9.56/2.54 % (1433758)Instruction limit reached!
% 9.56/2.54 % (1433758)------------------------------
% 9.56/2.54 % (1433758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.54 % (1433758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.54 % (1433758)CaDiCaL version: 2.1.3
% 9.56/2.54 % (1433758)Termination reason: Instruction limit
% 9.56/2.54 % (1433758)Termination phase: Saturation
% 9.56/2.54 % (1433758)Time elapsed: 0.131 s
% 9.56/2.54 % (1433758)Peak memory usage: 90 MB
% 9.56/2.54 % (1433758)Instructions burned: 142 (million)
% 9.56/2.54 % (1433770)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=3933468879:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 9.56/2.54 % (1433767)lrs+10_1_sil=8000:sp=occurrence:random_seed=3020949905:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 9.56/2.54 % (1433768)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3473859393:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 9.56/2.54 % (1433769)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2867672720:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 9.56/2.54 % (1433768)Instruction limit reached!
% 9.56/2.54 % (1433768)------------------------------
% 9.56/2.54 % (1433768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.54 % (1433768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.54 % (1433768)CaDiCaL version: 2.1.3
% 9.56/2.54 % (1433768)Termination reason: Instruction limit
% 9.56/2.54 % (1433768)Termination phase: Saturation
% 9.56/2.54 % (1433768)Time elapsed: 0.139 s
% 9.56/2.54 % (1433768)Peak memory usage: 90 MB
% 9.56/2.54 % (1433768)Instructions burned: 158 (million)
% 9.56/2.54 % (1433770)Instruction limit reached!
% 9.56/2.54 % (1433770)------------------------------
% 9.56/2.54 % (1433770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.54 % (1433770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.54 % (1433770)CaDiCaL version: 2.1.3
% 9.56/2.54 % (1433770)Termination reason: Instruction limit
% 9.56/2.54 % (1433770)Termination phase: Saturation
% 9.56/2.54 % (1433770)Time elapsed: 0.149 s
% 9.56/2.54 % (1433770)Peak memory usage: 90 MB
% 9.56/2.54 % (1433770)Instructions burned: 249 (million)
% 9.56/2.54 % (1433767)Instruction limit reached!
% 9.56/2.54 % (1433767)------------------------------
% 9.56/2.54 % (1433767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.54 % (1433767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.54 % (1433767)CaDiCaL version: 2.1.3
% 9.56/2.54 % (1433767)Termination reason: Instruction limit
% 9.56/2.54 % (1433767)Termination phase: Saturation
% 9.56/2.54 % (1433767)Time elapsed: 0.256 s
% 9.56/2.54 % (1433767)Peak memory usage: 92 MB
% 9.56/2.54 % (1433767)Instructions burned: 285 (million)
% 9.56/2.54 % (1433753)First to succeed.
% 9.56/2.54 % (1433753)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1433746"
% 9.56/2.54 % (1433769)Instruction limit reached!
% 9.56/2.54 % (1433769)------------------------------
% 9.56/2.54 % (1433769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.54 % (1433769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.54 % (1433769)CaDiCaL version: 2.1.3
% 9.56/2.54 % (1433769)Termination reason: Instruction limit
% 9.56/2.54 % (1433769)Termination phase: Saturation
% 9.56/2.54 % (1433769)Time elapsed: 0.312 s
% 9.56/2.54 % (1433769)Peak memory usage: 92 MB
% 9.56/2.54 % (1433769)Instructions burned: 326 (million)
% 9.56/2.54 % (1433778)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3801092471:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 9.56/2.54 % (1433777)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=667267587:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 9.56/2.54 % (1433779)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=868302988:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 9.56/2.54 % (1433780)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1587040621:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 9.56/2.54 % (1433753)Refutation found. Thanks to Tanya!
% 9.56/2.54 % SZS status ContradictoryAxioms for theBenchmark
% 9.56/2.54 % SZS output start Proof for theBenchmark
% See solution above
% 9.56/2.54 % (1433753)------------------------------
% 9.56/2.54 % (1433753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.54 % (1433753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.54 % (1433753)CaDiCaL version: 2.1.3
% 9.56/2.54 % (1433753)Termination reason: Refutation
% 9.56/2.54 % (1433753)Time elapsed: 0.784 s
% 9.56/2.54 % (1433753)Peak memory usage: 136 MB
% 9.56/2.54 % (1433753)Instructions burned: 1464 (million)
% 9.56/2.54 % (1433753)------------------------------
% 9.56/2.54 % (1433753)------------------------------
% 9.56/2.54 % (1433746)Success in time 1.312 s
% 9.56/2.54 % Vampire exiting
%------------------------------------------------------------------------------