%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SCT139+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 12.86s 2.97s
% Output : Refutation 12.86s
% 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/sandbox2/benchmark/theBenchmark.p',fact_not__Cons__self) ).
fof(f511,axiom,
! [X0,X1] : hAPP(c_COMBI(X1),X0) = X0,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',help_c__COMBS__1) ).
fof(f1330,plain,
! [X2,X0,X1] : hAPP(hAPP(c_List_Olist_OCons(X1),X0),X2) != X2,
inference(cnf_transformation,[],[f36]) ).
fof(f2076,plain,
! [X0,X1] : hAPP(c_COMBI(X1),X0) = X0,
inference(cnf_transformation,[],[f511]) ).
fof(f2080,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(f2323,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,[],[f1330,f2080]) ).
fof(f2326,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,[],[f2323,f2080]) ).
fof(f2327,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,[],[f2326,f2076]) ).
fof(f2338,plain,
$false,
inference(equality_resolution,[],[f2327]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SCT139+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.44 % Computer : n010.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Sun Sep 27 23:48:17 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 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
% 12.86/2.97 % (1433299)Detected formulas, will run a generic FOF schedule.
% 12.86/2.97 % (1433309)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2132170815:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.86/2.97 % (1433308)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2461119571:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.86/2.97 % (1433309)Instruction limit reached!
% 12.86/2.97 % (1433309)------------------------------
% 12.86/2.97 % (1433309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.86/2.97 % (1433309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.86/2.97 % (1433309)CaDiCaL version: 2.1.3
% 12.86/2.97 % (1433309)Termination reason: Instruction limit
% 12.86/2.97 % (1433309)Termination phase: Saturation
% 12.86/2.97 % (1433309)Time elapsed: 0.065 s
% 12.86/2.97 % (1433309)Peak memory usage: 90 MB
% 12.86/2.97 % (1433309)Instructions burned: 139 (million)
% 12.86/2.97 % (1433304)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=3306370118:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.86/2.97 % (1433306)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=4292085187:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.86/2.97 % (1433307)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3559763840:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.86/2.97 % (1433305)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=1473473123:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.86/2.97 % (1433307)Refutation not found, incomplete strategy
% 12.86/2.97 % (1433307)------------------------------
% 12.86/2.97 % (1433307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.86/2.97 % (1433307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.86/2.97 % (1433307)CaDiCaL version: 2.1.3
% 12.86/2.97 % (1433307)Termination reason: Refutation not found, incomplete strategy
% 12.86/2.97 % (1433307)Time elapsed: 0.017 s
% 12.86/2.97 % (1433307)Peak memory usage: 89 MB
% 12.86/2.97 % (1433307)Instructions burned: 15 (million)
% 12.86/2.97 % (1433308)Instruction limit reached!
% 12.86/2.97 % (1433308)------------------------------
% 12.86/2.97 % (1433308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.86/2.97 % (1433308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.86/2.97 % (1433308)CaDiCaL version: 2.1.3
% 12.86/2.97 % (1433308)Termination reason: Instruction limit
% 12.86/2.97 % (1433308)Termination phase: Saturation
% 12.86/2.97 % (1433308)Time elapsed: 0.119 s
% 12.86/2.97 % (1433308)Peak memory usage: 89 MB
% 12.86/2.97 % (1433308)Instructions burned: 120 (million)
% 12.86/2.97 % (1433310)dis-21_1_sil=8000:lcm=predicate:random_seed=4272169504: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)
% 12.86/2.97 % (1433310)Instruction limit reached!
% 12.86/2.97 % (1433310)------------------------------
% 12.86/2.97 % (1433310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.86/2.97 % (1433310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.86/2.97 % (1433310)CaDiCaL version: 2.1.3
% 12.86/2.97 % (1433310)Termination reason: Instruction limit
% 12.86/2.97 % (1433310)Termination phase: Saturation
% 12.86/2.97 % (1433310)Time elapsed: 0.116 s
% 12.86/2.97 % (1433310)Peak memory usage: 90 MB
% 12.86/2.97 % (1433310)Instructions burned: 129 (million)
% 12.86/2.97 % (1433315)lrs+10_1_sil=8000:sp=occurrence:random_seed=23138277:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 12.86/2.97 % (1433321)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3427744784:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 12.86/2.97 % (1433321)Instruction limit reached!
% 12.86/2.97 % (1433321)------------------------------
% 12.86/2.97 % (1433321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.86/2.97 % (1433321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.86/2.97 % (1433321)CaDiCaL version: 2.1.3
% 12.86/2.97 % (1433321)Termination reason: Instruction limit
% 12.86/2.97 % (1433321)Termination phase: Saturation
% 12.86/2.97 % (1433321)Time elapsed: 0.076 s
% 12.86/2.97 % (1433321)Peak memory usage: 90 MB
% 12.86/2.97 % (1433321)Instructions burned: 159 (million)
% 12.86/2.97 % (1433322)lrs+1011_1_sil=32000:sp=occurrence:random_seed=603443709:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 12.86/2.97 % (1433307)------------------------------
% 12.86/2.97 % (1433307)------------------------------
% 12.86/2.97 % (1433315)Instruction limit reached!
% 12.86/2.97 % (1433315)------------------------------
% 12.86/2.97 % (1433315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.86/2.97 % (1433315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.86/2.97 % (1433315)CaDiCaL version: 2.1.3
% 12.86/2.97 % (1433315)Termination reason: Instruction limit
% 12.86/2.97 % (1433315)Termination phase: Saturation
% 12.86/2.97 % (1433315)Time elapsed: 0.268 s
% 12.86/2.97 % (1433315)Peak memory usage: 91 MB
% 12.86/2.97 % (1433315)Instructions burned: 285 (million)
% 12.86/2.97 % (1433322)Instruction limit reached!
% 12.86/2.97 % (1433322)------------------------------
% 12.86/2.97 % (1433322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.86/2.97 % (1433322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.86/2.97 % (1433322)CaDiCaL version: 2.1.3
% 12.86/2.97 % (1433322)Termination reason: Instruction limit
% 12.86/2.97 % (1433322)Termination phase: Saturation
% 12.86/2.97 % (1433322)Time elapsed: 0.190 s
% 12.86/2.97 % (1433322)Peak memory usage: 91 MB
% 12.86/2.97 % (1433322)Instructions burned: 327 (million)
% 12.86/2.97 % (1433325)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=141311438:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 12.86/2.97 % (1433327)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3825200008:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 12.86/2.97 % (1433329)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=539299607:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 12.86/2.97 % (1433328)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3064710694:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 12.86/2.97 % (1433329)Instruction limit reached!
% 12.86/2.97 % (1433329)------------------------------
% 12.86/2.97 % (1433329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.86/2.97 % (1433329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.86/2.97 % (1433329)CaDiCaL version: 2.1.3
% 12.86/2.97 % (1433329)Termination reason: Instruction limit
% 12.86/2.97 % (1433329)Termination phase: Saturation
% 12.86/2.97 % (1433329)Time elapsed: 0.053 s
% 12.86/2.97 % (1433329)Peak memory usage: 89 MB
% 12.86/2.97 % (1433329)Instructions burned: 115 (million)
% 12.86/2.97 % (1433325)Instruction limit reached!
% 12.86/2.97 % (1433325)------------------------------
% 12.86/2.97 % (1433325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.86/2.97 % (1433325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.86/2.97 % (1433325)CaDiCaL version: 2.1.3
% 12.86/2.97 % (1433325)Termination reason: Instruction limit
% 12.86/2.97 % (1433325)Termination phase: Saturation
% 12.86/2.97 % (1433325)Time elapsed: 0.225 s
% 12.86/2.97 % (1433325)Peak memory usage: 91 MB
% 12.86/2.97 % (1433325)Instructions burned: 248 (million)
% 12.86/2.97 % (1433327)Instruction limit reached!
% 12.86/2.97 % (1433327)------------------------------
% 12.86/2.97 % (1433327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.86/2.97 % (1433327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.86/2.97 % (1433327)CaDiCaL version: 2.1.3
% 12.86/2.97 % (1433327)Termination reason: Instruction limit
% 12.86/2.97 % (1433327)Termination phase: Saturation
% 12.86/2.97 % (1433327)Time elapsed: 0.296 s
% 12.86/2.97 % (1433327)Peak memory usage: 91 MB
% 12.86/2.97 % (1433327)Instructions burned: 295 (million)
% 12.86/2.97 % (1433334)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2847939571:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 12.86/2.97 % (1433334)Instruction limit reached!
% 12.86/2.97 % (1433334)------------------------------
% 12.86/2.97 % (1433334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.86/2.97 % (1433334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.86/2.97 % (1433334)CaDiCaL version: 2.1.3
% 12.86/2.97 % (1433334)Termination reason: Instruction limit
% 12.86/2.97 % (1433334)Termination phase: Saturation
% 12.86/2.97 % (1433334)Time elapsed: 0.104 s
% 12.86/2.97 % (1433334)Peak memory usage: 89 MB
% 12.86/2.97 % (1433334)Instructions burned: 128 (million)
% 12.86/2.97 % (1433335)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=283000647:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 12.86/2.97 % (1433305)First to succeed.
% 12.86/2.97 % (1433305)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1433299"
% 12.86/2.97 % (1433335)Instruction limit reached!
% 12.86/2.97 % (1433335)------------------------------
% 12.86/2.97 % (1433335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.86/2.97 % (1433335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.86/2.97 % (1433335)CaDiCaL version: 2.1.3
% 12.86/2.97 % (1433335)Termination reason: Instruction limit
% 12.86/2.97 % (1433335)Termination phase: Saturation
% 12.86/2.97 % (1433335)Time elapsed: 0.101 s
% 12.86/2.97 % (1433335)Peak memory usage: 90 MB
% 12.86/2.97 % (1433335)Instructions burned: 115 (million)
% 12.86/2.97 % (1433336)lrs+10_1_sil=8000:sp=occurrence:random_seed=1293397918:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 12.86/2.97 % (1433341)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1714634510:i=437:sd=1:aac=none:ss=included_2985 on theBenchmark for (2985ds/437Mi)
% 12.86/2.97 % (1433304)Also succeeded, but the first one will report.
% 12.86/2.97 % (1433305)Refutation found. Thanks to Tanya!
% 12.86/2.97 % SZS status ContradictoryAxioms for theBenchmark
% 12.86/2.97 % SZS output start Proof for theBenchmark
% See solution above
% 12.86/2.97 % (1433305)------------------------------
% 12.86/2.97 % (1433305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.86/2.97 % (1433305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.86/2.97 % (1433305)CaDiCaL version: 2.1.3
% 12.86/2.97 % (1433305)Termination reason: Refutation
% 12.86/2.97 % (1433305)Time elapsed: 1.211 s
% 12.86/2.97 % (1433305)Peak memory usage: 145 MB
% 12.86/2.97 % (1433305)Instructions burned: 1480 (million)
% 12.86/2.97 % (1433305)------------------------------
% 12.86/2.97 % (1433305)------------------------------
% 12.86/2.97 % (1433299)Success in time 1.784 s
% 12.86/2.97 % Vampire exiting
%------------------------------------------------------------------------------