%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SCT138+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 12:36:59 PM UTC 2026
% Result : ContradictoryAxioms 10.01s 2.44s
% Output : Refutation 10.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 10 unt; 0 def)
% Number of atoms : 10 ( 9 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 0 con; 1-3 aty)
% Number of variables : 46 ( 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f36,axiom,
! [X0,X1,X2] : X2 != hAPP(hAPP(c_List_Olist_OCons(X1),X0),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_not__Cons__self) ).
fof(f511,axiom,
! [X0,X1] : hAPP(c_COMBI(X1),X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBI__1) ).
fof(f515,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/sandbox/benchmark/theBenchmark.p',help_c__COMBS__1) ).
fof(f1339,plain,
! [X2,X0,X1] : hAPP(hAPP(c_List_Olist_OCons(X1),X0),X2) != X2,
inference(cnf_transformation,[],[f36]) ).
fof(f2092,plain,
! [X0,X1] : hAPP(c_COMBI(X1),X0) = X0,
inference(cnf_transformation,[],[f511]) ).
fof(f2096,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,[],[f515]) ).
fof(f2332,plain,
! [X2,X3,X0,X1,X4,X5] : hAPP(X4,X5) != hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),c_List_Olist_OCons(X3)),X4),X5),
inference(superposition,[],[f1339,f2096]) ).
fof(f2335,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : hAPP(X8,hAPP(X7,X8)) != hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),hAPP(c_COMBS(X3,X4,X5),c_List_Olist_OCons(X6))),X7),X8),
inference(superposition,[],[f2332,f2096]) ).
fof(f2341,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X2,X3,X4),hAPP(c_COMBS(X5,X6,X7),c_List_Olist_OCons(X8))),c_COMBI(X1)),X0) != hAPP(X0,X0),
inference(superposition,[],[f2335,f2092]) ).
fof(f2349,plain,
$false,
inference(equality_resolution,[],[f2341]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT138+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 % Computer : n015.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 23:51:01 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.44 Running first-order theorem proving
% 0.11/0.44 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
% 9.38/2.25 % (2138826)Detected formulas, will run a generic FOF schedule.
% 9.38/2.25 % (2138833)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=3445273374:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.38/2.25 % (2138832)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=3277771057:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.38/2.25 % (2138836)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3640417437:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.38/2.25 % (2138835)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4051778959:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.38/2.25 % (2138831)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=98009960:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.38/2.25 % (2138837)dis-21_1_sil=8000:lcm=predicate:random_seed=3243427208: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)
% 9.38/2.25 % (2138834)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1976509104:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.38/2.25 % (2138834)Instruction limit reached!
% 9.38/2.25 % (2138834)------------------------------
% 9.38/2.25 % (2138834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.38/2.25 % (2138834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.38/2.25 % (2138834)CaDiCaL version: 2.1.3
% 9.38/2.25 % (2138834)Termination reason: Instruction limit
% 9.38/2.25 % (2138834)Termination phase: Saturation
% 9.38/2.25 % (2138834)Time elapsed: 0.053 s
% 9.38/2.25 % (2138834)Peak memory usage: 88 MB
% 9.38/2.25 % (2138834)Instructions burned: 111 (million)
% 9.38/2.25 % (2138837)Instruction limit reached!
% 9.38/2.25 % (2138837)------------------------------
% 9.38/2.25 % (2138837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.38/2.25 % (2138837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.38/2.25 % (2138837)CaDiCaL version: 2.1.3
% 9.38/2.25 % (2138837)Termination reason: Instruction limit
% 9.38/2.25 % (2138837)Termination phase: Saturation
% 9.38/2.25 % (2138837)Time elapsed: 0.063 s
% 9.38/2.25 % (2138837)Peak memory usage: 89 MB
% 9.38/2.25 % (2138837)Instructions burned: 129 (million)
% 9.38/2.25 % (2138835)Instruction limit reached!
% 9.38/2.25 % (2138835)------------------------------
% 9.38/2.25 % (2138835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.38/2.25 % (2138835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.38/2.25 % (2138835)CaDiCaL version: 2.1.3
% 9.38/2.25 % (2138835)Termination reason: Instruction limit
% 9.38/2.25 % (2138835)Termination phase: Saturation
% 9.38/2.25 % (2138835)Time elapsed: 0.069 s
% 9.38/2.25 % (2138835)Peak memory usage: 89 MB
% 9.38/2.25 % (2138835)Instructions burned: 119 (million)
% 9.38/2.25 % (2138836)Instruction limit reached!
% 9.38/2.25 % (2138836)------------------------------
% 9.38/2.25 % (2138836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.38/2.25 % (2138836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.38/2.25 % (2138836)CaDiCaL version: 2.1.3
% 9.38/2.25 % (2138836)Termination reason: Instruction limit
% 9.38/2.25 % (2138836)Termination phase: Saturation
% 9.38/2.25 % (2138836)Time elapsed: 0.077 s
% 9.38/2.25 % (2138836)Peak memory usage: 90 MB
% 9.38/2.25 % (2138836)Instructions burned: 140 (million)
% 9.38/2.25 % (2138845)lrs+10_1_sil=8000:sp=occurrence:random_seed=4232924537:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 9.38/2.25 % (2138846)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4121377686:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.38/2.25 % (2138847)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3355753624:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 9.38/2.25 % (2138848)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=1489057544:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 9.38/2.25 % (2138846)Instruction limit reached!
% 10.01/2.44 % (2138846)------------------------------
% 10.01/2.44 % (2138846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.01/2.44 % (2138846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/2.44 % (2138846)CaDiCaL version: 2.1.3
% 10.01/2.44 % (2138846)Termination reason: Instruction limit
% 10.01/2.44 % (2138846)Termination phase: Saturation
% 10.01/2.44 % (2138846)Time elapsed: 0.084 s
% 10.01/2.44 % (2138846)Peak memory usage: 89 MB
% 10.01/2.44 % (2138846)Instructions burned: 158 (million)
% 10.01/2.44 % (2138845)Instruction limit reached!
% 10.01/2.44 % (2138845)------------------------------
% 10.01/2.44 % (2138845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.01/2.44 % (2138845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/2.44 % (2138845)CaDiCaL version: 2.1.3
% 10.01/2.44 % (2138845)Termination reason: Instruction limit
% 10.01/2.44 % (2138845)Termination phase: Saturation
% 10.01/2.44 % (2138845)Time elapsed: 0.161 s
% 10.01/2.44 % (2138845)Peak memory usage: 91 MB
% 10.01/2.44 % (2138845)Instructions burned: 285 (million)
% 10.01/2.44 % (2138848)Instruction limit reached!
% 10.01/2.44 % (2138848)------------------------------
% 10.01/2.44 % (2138848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.01/2.44 % (2138848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/2.44 % (2138848)CaDiCaL version: 2.1.3
% 10.01/2.44 % (2138848)Termination reason: Instruction limit
% 10.01/2.44 % (2138848)Termination phase: Saturation
% 10.01/2.44 % (2138848)Time elapsed: 0.130 s
% 10.01/2.44 % (2138848)Peak memory usage: 90 MB
% 10.01/2.44 % (2138848)Instructions burned: 249 (million)
% 10.01/2.44 % (2138847)Instruction limit reached!
% 10.01/2.44 % (2138847)------------------------------
% 10.01/2.44 % (2138847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.01/2.44 % (2138847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/2.44 % (2138847)CaDiCaL version: 2.1.3
% 10.01/2.44 % (2138847)Termination reason: Instruction limit
% 10.01/2.44 % (2138847)Termination phase: Saturation
% 10.01/2.44 % (2138847)Time elapsed: 0.175 s
% 10.01/2.44 % (2138847)Peak memory usage: 90 MB
% 10.01/2.44 % (2138847)Instructions burned: 326 (million)
% 10.01/2.44 % (2138853)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1895884165:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 10.01/2.44 % (2138855)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1691587103:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 10.01/2.44 % (2138854)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3278082292:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 10.01/2.44 % (2138856)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3543892772:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 10.01/2.44 % (2138855)Instruction limit reached!
% 10.01/2.44 % (2138855)------------------------------
% 10.01/2.44 % (2138855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.01/2.44 % (2138855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/2.44 % (2138855)CaDiCaL version: 2.1.3
% 10.01/2.44 % (2138855)Termination reason: Instruction limit
% 10.01/2.44 % (2138855)Termination phase: Saturation
% 10.01/2.44 % (2138855)Time elapsed: 0.055 s
% 10.01/2.44 % (2138855)Peak memory usage: 89 MB
% 10.01/2.44 % (2138855)Instructions burned: 114 (million)
% 10.01/2.44 % (2138853)Instruction limit reached!
% 10.01/2.44 % (2138853)------------------------------
% 10.01/2.44 % (2138853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.01/2.44 % (2138853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/2.44 % (2138853)CaDiCaL version: 2.1.3
% 10.01/2.44 % (2138853)Termination reason: Instruction limit
% 10.01/2.44 % (2138853)Termination phase: Saturation
% 10.01/2.44 % (2138853)Time elapsed: 0.142 s
% 10.01/2.44 % (2138853)Peak memory usage: 90 MB
% 10.01/2.44 % (2138853)Instructions burned: 295 (million)
% 10.01/2.44 % (2138856)Instruction limit reached!
% 10.01/2.44 % (2138856)------------------------------
% 10.01/2.44 % (2138856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.01/2.44 % (2138856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/2.44 % (2138856)CaDiCaL version: 2.1.3
% 10.01/2.44 % (2138856)Termination reason: Instruction limit
% 10.01/2.44 % (2138856)Termination phase: Saturation
% 10.01/2.44 % (2138856)Time elapsed: 0.057 s
% 10.01/2.44 % (2138856)Peak memory usage: 89 MB
% 10.01/2.44 % (2138856)Instructions burned: 129 (million)
% 10.01/2.44 % (2138861)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3407630295:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 10.01/2.44 % (2138863)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3860390215:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 10.01/2.44 % (2138862)lrs+10_1_sil=8000:sp=occurrence:random_seed=2316627085:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 10.01/2.44 % (2138861)Instruction limit reached!
% 10.01/2.44 % (2138861)------------------------------
% 10.01/2.44 % (2138861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.01/2.44 % (2138861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/2.44 % (2138861)CaDiCaL version: 2.1.3
% 10.01/2.44 % (2138861)Termination reason: Instruction limit
% 10.01/2.44 % (2138861)Termination phase: Saturation
% 10.01/2.44 % (2138861)Time elapsed: 0.058 s
% 10.01/2.44 % (2138861)Peak memory usage: 89 MB
% 10.01/2.44 % (2138861)Instructions burned: 114 (million)
% 10.01/2.44 % (2138832)First to succeed.
% 10.01/2.44 % (2138831)Also succeeded, but the first one will report.
% 10.01/2.44 % (2138832)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2138826"
% 10.01/2.44 % (2138867)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1439877217:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 10.01/2.44 % (2138863)Instruction limit reached!
% 10.01/2.44 % (2138863)------------------------------
% 10.01/2.44 % (2138863)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.01/2.44 % (2138863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/2.44 % (2138863)CaDiCaL version: 2.1.3
% 10.01/2.44 % (2138863)Termination reason: Instruction limit
% 10.01/2.44 % (2138863)Termination phase: Saturation
% 10.01/2.44 % (2138863)Time elapsed: 0.216 s
% 10.01/2.44 % (2138863)Peak memory usage: 91 MB
% 10.01/2.44 % (2138863)Instructions burned: 439 (million)
% 10.01/2.44 % (2138832)Refutation found. Thanks to Tanya!
% 10.01/2.44 % SZS status ContradictoryAxioms for theBenchmark
% 10.01/2.44 % SZS output start Proof for theBenchmark
% See solution above
% 10.01/2.44 % (2138832)------------------------------
% 10.01/2.44 % (2138832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.01/2.44 % (2138832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.01/2.44 % (2138832)CaDiCaL version: 2.1.3
% 10.01/2.44 % (2138832)Termination reason: Refutation
% 10.01/2.44 % (2138832)Time elapsed: 0.890 s
% 10.01/2.44 % (2138832)Peak memory usage: 143 MB
% 10.01/2.44 % (2138832)Instructions burned: 1460 (million)
% 10.01/2.44 % (2138832)------------------------------
% 10.01/2.44 % (2138832)------------------------------
% 10.01/2.44 % (2138826)Success in time 1.361 s
% 10.01/2.44 % Vampire exiting
%------------------------------------------------------------------------------