%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL849-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 12:00:50 PM UTC 2026
% Result : Unsatisfiable 1.44s 0.77s
% Output : Refutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 6 ( 6 unt; 0 def)
% Number of atoms : 6 ( 5 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-5 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f821,axiom,
! [X2,X3,X0,X1] : c_List_Ofoldl(X0,X1,c_List_Olist_ONil(X2),X3,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_foldl__Nil_0) ).
fof(f824,axiom,
! [X2,X3,X0,X1,X4,X5] : c_List_Ofoldl(X0,X1,c_List_Olist_OCons(X2,X3,X4),X5,X4) = c_List_Ofoldl(X0,hAPP(hAPP(X0,X1),X2),X3,X5,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_foldl__Cons_0) ).
fof(f834,negated_conjecture,
c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) != hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f933,plain,
! [X2,X3,X0,X1,X4] : hAPP(hAPP(X0,X1),X2) = c_List_Ofoldl(X0,X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X4,X3),
inference(superposition,[],[f824,f821]) ).
fof(f945,plain,
hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat))) != hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat))),
inference(superposition,[],[f834,f933]) ).
fof(f958,plain,
$false,
inference(trivial_inequality_removal,[],[f945]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL849-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.17/0.44 % Computer : n016.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sun Sep 27 17:05:17 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.23/0.49 Running first-order model finding
% 0.23/0.49 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.44/0.77 % (2850502)Will run a generic schedule for satisfiability detection.
% 1.44/0.77 % (2850508)% WARNING: option uhcvi not known.
% 1.44/0.77 % (2850508)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=520709860:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.44/0.77 % (2850509)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4197833131:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.44/0.77 % (2850507)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1554457764_2999 on theBenchmark for (2999ds/0Mi)
% 1.44/0.77 % (2850510)dis+10_1_sil=32000:sp=arity:random_seed=1110563168:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.44/0.77 % (2850512)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1407089161:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.44/0.77 % (2850511)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3138470536:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.44/0.77 % (2850513)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1345821:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.44/0.77 % (2850510)Instruction limit reached!
% 1.44/0.77 % (2850510)------------------------------
% 1.44/0.77 % (2850510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.44/0.77 % (2850510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.44/0.77 % (2850510)CaDiCaL version: 2.1.3
% 1.44/0.77 % (2850510)Termination reason: Instruction limit
% 1.44/0.77 % (2850510)Termination phase: Saturation
% 1.44/0.77 % (2850510)Time elapsed: 0.113 s
% 1.44/0.77 % (2850510)Peak memory usage: 13 MB
% 1.44/0.77 % (2850510)Instructions burned: 103 (million)
% 1.44/0.77 % (2850511)Instruction limit reached!
% 1.44/0.77 % (2850511)------------------------------
% 1.44/0.77 % (2850511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.44/0.77 % (2850511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.44/0.77 % (2850511)CaDiCaL version: 2.1.3
% 1.44/0.77 % (2850511)Termination reason: Instruction limit
% 1.44/0.77 % (2850511)Termination phase: Saturation
% 1.44/0.77 % (2850511)Time elapsed: 0.125 s
% 1.44/0.77 % (2850511)Peak memory usage: 13 MB
% 1.44/0.77 % (2850511)Instructions burned: 116 (million)
% 1.44/0.77 % (2850521)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=764917702:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.44/0.77 % (2850512)Instruction limit reached!
% 1.44/0.77 % (2850512)------------------------------
% 1.44/0.77 % (2850512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.44/0.77 % (2850512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.44/0.77 % (2850512)CaDiCaL version: 2.1.3
% 1.44/0.77 % (2850512)Termination reason: Instruction limit
% 1.44/0.77 % (2850512)Termination phase: Saturation
% 1.44/0.77 % (2850512)Time elapsed: 0.138 s
% 1.44/0.77 % (2850512)Peak memory usage: 14 MB
% 1.44/0.77 % (2850512)Instructions burned: 132 (million)
% 1.44/0.77 % (2850522)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3373642340:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.44/0.77 % (2850513)Instruction limit reached!
% 1.44/0.77 % (2850513)------------------------------
% 1.44/0.77 % (2850513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.44/0.77 % (2850513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.44/0.77 % (2850513)CaDiCaL version: 2.1.3
% 1.44/0.77 % (2850513)Termination reason: Instruction limit
% 1.44/0.77 % (2850513)Termination phase: Saturation
% 1.44/0.77 % (2850513)Time elapsed: 0.170 s
% 1.44/0.77 % (2850513)Peak memory usage: 13 MB
% 1.44/0.77 % (2850513)Instructions burned: 159 (million)
% 1.44/0.77 % (2850524)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=1856700908:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2997 on theBenchmark for (2997ds/684Mi)
% 1.44/0.77 % TRYING [1]
% 1.44/0.77 % TRYING [2]
% 1.44/0.77 % (2850524) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2850502-2850524"...
% 1.44/0.77 % (2850524)...printing done.
% 1.44/0.77 % (2850524)Refutation found. Thanks to Tanya!
% 1.44/0.77 % SZS status Unsatisfiable for theBenchmark
% 1.44/0.77 % SZS output start Proof for theBenchmark
% See solution above
% 1.44/0.77 % (2850524)------------------------------
% 1.44/0.77 % (2850524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.44/0.77 % (2850524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.44/0.77 % (2850524)CaDiCaL version: 2.1.3
% 1.44/0.77 % (2850524)Termination reason: Refutation
% 1.44/0.77 % (2850524)Time elapsed: 0.024 s
% 1.44/0.77 % (2850524)Peak memory usage: 13 MB
% 1.44/0.77 % (2850524)Instructions burned: 22 (million)
% 1.44/0.77 % (2850502)Success in time 0.266 s
% 1.44/0.77 % Vampire exiting
%------------------------------------------------------------------------------