%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SCT162+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 12:37:37 PM UTC 2026
% Result : ContradictoryAxioms 0.80s 0.63s
% Output : Refutation 0.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 12 unt; 0 def)
% Number of atoms : 12 ( 11 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-5 aty)
% Number of variables : 55 ( 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f374,axiom,
! [X0] : hAPP(c_Nat_OSuc,X0) != X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Suc__n__not__n) ).
fof(f525,axiom,
! [X0,X1] : hAPP(c_COMBI(X1),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__COMBI__1) ).
fof(f527,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(f529,axiom,
! [X0,X1,X2,X3,X4,X5] : 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(f1575,plain,
! [X0] : hAPP(c_Nat_OSuc,X0) != X0,
inference(cnf_transformation,[],[f374]) ).
fof(f1771,plain,
! [X0,X1] : hAPP(c_COMBI(X1),X0) = X0,
inference(cnf_transformation,[],[f525]) ).
fof(f1773,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,[],[f527]) ).
fof(f1775,plain,
! [X2,X3,X0,X1,X4,X5] : hAPP(c_COMBS(X5,X4,X3,X2,X1),X0) = hAPP(hAPP(X2,X0),hAPP(X1,X0)),
inference(cnf_transformation,[],[f529]) ).
fof(f1949,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : hAPP(X0,hAPP(X1,hAPP(X2,X1))) = hAPP(c_COMBS(X3,X4,X5,c_COMBB(X6,X7,X8,X0),X2),X1),
inference(superposition,[],[f1775,f1773]) ).
fof(f2164,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : hAPP(X7,hAPP(X6,X7)) != hAPP(c_COMBS(X0,X1,X2,c_COMBB(X3,X4,X5,c_Nat_OSuc),X6),X7),
inference(superposition,[],[f1575,f1949]) ).
fof(f2336,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : hAPP(X0,X0) != hAPP(c_COMBS(X2,X3,X4,c_COMBB(X5,X6,X7,c_Nat_OSuc),c_COMBI(X1)),X0),
inference(superposition,[],[f2164,f1771]) ).
fof(f2969,plain,
$false,
inference(equality_resolution,[],[f2336]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT162+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n015.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
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 23:54:46 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.80/0.63 % (2142332)Will run a generic schedule for satisfiability detection.
% 0.80/0.63 % (2142342)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=52073452:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.80/0.63 % (2142338)% WARNING: option uhcvi not known.
% 0.80/0.63 % (2142337)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3370838414_2999 on theBenchmark for (2999ds/0Mi)
% 0.80/0.63 % (2142338)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2804092104:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.80/0.63 % (2142339)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=708769198:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.80/0.63 % (2142340)dis+10_1_sil=32000:sp=arity:random_seed=518341005:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.80/0.63 % (2142341)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4064454114:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.80/0.63 % (2142343)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2153675911:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.80/0.63 % (2142342)Instruction limit reached!
% 0.80/0.63 % (2142342)------------------------------
% 0.80/0.63 % (2142342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.63 % (2142342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.63 % (2142342)CaDiCaL version: 2.1.3
% 0.80/0.63 % (2142342)Termination reason: Instruction limit
% 0.80/0.63 % (2142342)Termination phase: Saturation
% 0.80/0.63 % (2142342)Time elapsed: 0.041 s
% 0.80/0.63 % (2142342)Peak memory usage: 14 MB
% 0.80/0.63 % (2142342)Instructions burned: 133 (million)
% 0.80/0.63 % (2142351)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=493790882:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.80/0.63 % (2142340)Instruction limit reached!
% 0.80/0.63 % (2142340)------------------------------
% 0.80/0.63 % (2142340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.63 % (2142340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.63 % (2142340)CaDiCaL version: 2.1.3
% 0.80/0.63 % (2142340)Termination reason: Instruction limit
% 0.80/0.63 % (2142340)Termination phase: Saturation
% 0.80/0.63 % (2142340)Time elapsed: 0.056 s
% 0.80/0.63 % (2142340)Peak memory usage: 13 MB
% 0.80/0.63 % (2142340)Instructions burned: 104 (million)
% 0.80/0.63 % (2142341)Instruction limit reached!
% 0.80/0.63 % (2142341)------------------------------
% 0.80/0.63 % (2142341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.63 % (2142341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.63 % (2142341)CaDiCaL version: 2.1.3
% 0.80/0.63 % (2142341)Termination reason: Instruction limit
% 0.80/0.63 % (2142341)Termination phase: Saturation
% 0.80/0.63 % (2142341)Time elapsed: 0.057 s
% 0.80/0.63 % (2142341)Peak memory usage: 13 MB
% 0.80/0.63 % (2142341)Instructions burned: 117 (million)
% 0.80/0.63 % (2142353)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1798874165:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.80/0.63 % (2142354)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1558699257:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.80/0.63 % (2142343)Instruction limit reached!
% 0.80/0.63 % (2142343)------------------------------
% 0.80/0.63 % (2142343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.63 % (2142343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.63 % (2142343)CaDiCaL version: 2.1.3
% 0.80/0.63 % (2142343)Termination reason: Instruction limit
% 0.80/0.63 % (2142343)Termination phase: Saturation
% 0.80/0.63 % (2142343)Time elapsed: 0.093 s
% 0.80/0.63 % (2142343)Peak memory usage: 15 MB
% 0.80/0.63 % (2142343)Instructions burned: 160 (million)
% 0.80/0.63 % (2142357)ott-21_1_sil=16000:fs=off:random_seed=1078631243:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.80/0.63 % (2142353)Instruction limit reached!
% 0.80/0.63 % (2142353)------------------------------
% 0.80/0.63 % (2142353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.63 % (2142353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.63 % (2142353)CaDiCaL version: 2.1.3
% 0.80/0.63 % (2142353)Termination reason: Instruction limit
% 0.80/0.63 % (2142353)Termination phase: Saturation
% 0.80/0.63 % (2142353)Time elapsed: 0.067 s
% 0.80/0.63 % (2142353)Peak memory usage: 14 MB
% 0.80/0.63 % (2142353)Instructions burned: 133 (million)
% 0.80/0.63 % (2142354) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2142332-2142354"...
% 0.80/0.63 % (2142354)...printing done.
% 0.80/0.63 % (2142354)Refutation found. Thanks to Tanya!
% 0.80/0.63 % SZS status ContradictoryAxioms for theBenchmark
% 0.80/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 0.80/0.63 % (2142354)------------------------------
% 0.80/0.63 % (2142354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.63 % (2142354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.63 % (2142354)CaDiCaL version: 2.1.3
% 0.80/0.63 % (2142354)Termination reason: Refutation
% 0.80/0.63 % (2142354)Time elapsed: 0.069 s
% 0.80/0.63 % (2142354)Peak memory usage: 15 MB
% 0.80/0.63 % (2142354)Instructions burned: 126 (million)
% 0.80/0.63 % (2142332)Success in time 0.209 s
% 0.80/0.63 % Vampire exiting
%------------------------------------------------------------------------------