%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL855-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 12:00:51 PM UTC 2026
% Result : Unsatisfiable 1.71s 0.74s
% Output : Refutation 1.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 9 ( 9 unt; 0 def)
% Number of atoms : 9 ( 4 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f416,axiom,
! [X2,X0,X1] : c_Lambda_Osubst(c_Lambda_Olift(X0,X1),X2,X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subst__lift_0) ).
fof(f438,axiom,
! [X0,X1] : c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subst__eq_0) ).
fof(f443,axiom,
! [X2,X3,X0,X1] : c_Lambda_Osubst(c_Lambda_OdB_OApp(X0,X1),X2,X3) = c_Lambda_OdB_OApp(c_Lambda_Osubst(X0,X2,X3),c_Lambda_Osubst(X1,X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subst__App_0) ).
fof(f461,axiom,
c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OApp(c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat))),v_s____,c_HOL_Ozero__class_Ozero(tc_nat))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f462,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_OdB_OApp(v_s____,v_ta____)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2678,plain,
! [X2,X0,X1] : c_Lambda_Osubst(c_Lambda_OdB_OApp(c_Lambda_OdB_OVar(X1),X2),X0,X1) = c_Lambda_OdB_OApp(X0,c_Lambda_Osubst(X2,X0,X1)),
inference(superposition,[],[f443,f438]) ).
fof(f20750,plain,
c_InductTermi_OIT(c_Lambda_OdB_OApp(v_s____,c_Lambda_Osubst(c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat)),v_s____,c_HOL_Ozero__class_Ozero(tc_nat)))),
inference(superposition,[],[f461,f2678]) ).
fof(f20786,plain,
c_InductTermi_OIT(c_Lambda_OdB_OApp(v_s____,v_ta____)),
inference(forward_demodulation,[],[f20750,f416]) ).
fof(f20787,plain,
$false,
inference(forward_subsumption_resolution,[],[f20786,f462]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL855-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n019.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 17:01:04 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 1.71/0.74 % (3269603)Will run a generic schedule for satisfiability detection.
% 1.71/0.74 % (3269609)% WARNING: option uhcvi not known.
% 1.71/0.74 % (3269609)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=493424390:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.71/0.74 % (3269608)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=675312558_2999 on theBenchmark for (2999ds/0Mi)
% 1.71/0.74 % (3269610)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1710098481:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.71/0.74 % (3269611)dis+10_1_sil=32000:sp=arity:random_seed=3609038160:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.71/0.74 % (3269612)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=524859376:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.71/0.74 % (3269613)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3957494228:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.71/0.74 % (3269614)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1231192061:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.71/0.74 % TRYING [1]
% 1.71/0.74 % TRYING [2]
% 1.71/0.74 % TRYING [3]
% 1.71/0.74 % (3269611)Instruction limit reached!
% 1.71/0.74 % (3269611)------------------------------
% 1.71/0.74 % (3269611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.74 % (3269611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.74 % (3269611)CaDiCaL version: 2.1.3
% 1.71/0.74 % (3269611)Termination reason: Instruction limit
% 1.71/0.74 % (3269611)Termination phase: Saturation
% 1.71/0.74 % (3269611)Time elapsed: 0.061 s
% 1.71/0.74 % (3269611)Peak memory usage: 12 MB
% 1.71/0.74 % (3269611)Instructions burned: 103 (million)
% 1.71/0.74 % (3269612)Instruction limit reached!
% 1.71/0.74 % (3269612)------------------------------
% 1.71/0.74 % (3269612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.74 % (3269612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.74 % (3269612)CaDiCaL version: 2.1.3
% 1.71/0.74 % (3269612)Termination reason: Instruction limit
% 1.71/0.74 % (3269612)Termination phase: Saturation
% 1.71/0.74 % (3269612)Time elapsed: 0.073 s
% 1.71/0.74 % (3269612)Peak memory usage: 12 MB
% 1.71/0.74 % (3269612)Instructions burned: 117 (million)
% 1.71/0.74 % (3269622)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1869023117:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.71/0.74 % (3269613)Instruction limit reached!
% 1.71/0.74 % (3269613)------------------------------
% 1.71/0.74 % (3269613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.74 % (3269613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.74 % (3269613)CaDiCaL version: 2.1.3
% 1.71/0.74 % (3269613)Termination reason: Instruction limit
% 1.71/0.74 % (3269613)Termination phase: Saturation
% 1.71/0.74 % (3269613)Time elapsed: 0.086 s
% 1.71/0.74 % (3269613)Peak memory usage: 13 MB
% 1.71/0.74 % (3269613)Instructions burned: 132 (million)
% 1.71/0.74 % (3269623)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=947216795:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.71/0.74 % (3269614)Instruction limit reached!
% 1.71/0.74 % (3269614)------------------------------
% 1.71/0.74 % (3269614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.74 % (3269614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.74 % (3269614)CaDiCaL version: 2.1.3
% 1.71/0.74 % (3269614)Termination reason: Instruction limit
% 1.71/0.74 % (3269614)Termination phase: Saturation
% 1.71/0.74 % (3269614)Time elapsed: 0.105 s
% 1.71/0.74 % (3269614)Peak memory usage: 13 MB
% 1.71/0.74 % (3269614)Instructions burned: 160 (million)
% 1.71/0.74 % (3269625)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=3871908249:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.71/0.74 % TRYING [1]
% 1.71/0.74 % TRYING [2]
% 1.71/0.74 % (3269627)ott-21_1_sil=16000:fs=off:random_seed=3397652363:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.71/0.74 % TRYING [4]
% 1.71/0.74 % TRYING [3]
% 1.71/0.74 % (3269623)Instruction limit reached!
% 1.71/0.74 % (3269623)------------------------------
% 1.71/0.74 % (3269623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.74 % (3269623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.74 % (3269623)CaDiCaL version: 2.1.3
% 1.71/0.74 % (3269623)Termination reason: Instruction limit
% 1.71/0.74 % (3269623)Termination phase: Saturation
% 1.71/0.74 % (3269623)Time elapsed: 0.088 s
% 1.71/0.74 % (3269623)Peak memory usage: 13 MB
% 1.71/0.74 % (3269623)Instructions burned: 133 (million)
% 1.71/0.74 % (3269630)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3923851368:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.71/0.74 % (3269627)Instruction limit reached!
% 1.71/0.74 % (3269627)------------------------------
% 1.71/0.74 % (3269627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.74 % (3269627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.74 % (3269627)CaDiCaL version: 2.1.3
% 1.71/0.74 % (3269627)Termination reason: Instruction limit
% 1.71/0.74 % (3269627)Termination phase: Saturation
% 1.71/0.74 % (3269627)Time elapsed: 0.089 s
% 1.71/0.74 % (3269627)Peak memory usage: 12 MB
% 1.71/0.74 % (3269627)Instructions burned: 181 (million)
% 1.71/0.74 % (3269632)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3303201384:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.71/0.74 % (3269609) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3269603-3269609"...
% 1.71/0.74 % (3269609)...printing done.
% 1.71/0.74 % (3269609)Refutation found. Thanks to Tanya!
% 1.71/0.74 % SZS status Unsatisfiable for theBenchmark
% 1.71/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 1.71/0.74 % (3269609)------------------------------
% 1.71/0.74 % (3269609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.71/0.74 % (3269609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.74 % (3269609)CaDiCaL version: 2.1.3
% 1.71/0.74 % (3269609)Termination reason: Refutation
% 1.71/0.74 % (3269609)Time elapsed: 0.272 s
% 1.71/0.74 % (3269609)Peak memory usage: 17 MB
% 1.71/0.74 % (3269609)Instructions burned: 857 (million)
% 1.71/0.74 % (3269603)Success in time 0.312 s
% 1.71/0.74 % Vampire exiting
%------------------------------------------------------------------------------