%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL800-1 : 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 : n003.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 12:00:39 PM UTC 2026
% Result : Unsatisfiable 0.86s 0.63s
% Output : Refutation 0.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 9 ( 9 unt; 0 def)
% Number of atoms : 9 ( 5 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f444,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/sandbox/benchmark/theBenchmark.p',cls_subst__App_0) ).
fof(f447,axiom,
! [X0,X1] : c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subst__eq_0) ).
fof(f463,axiom,
! [X2,X0,X1] : c_Lambda_Osubst(c_Lambda_Olift(X0,X1),X2,X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subst__lift_0) ).
fof(f468,axiom,
c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OApp(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Osubst(v_a____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f469,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_OdB_OApp(v_u____,c_Lambda_Osubst(v_a____,v_u____,v_i____))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f501,plain,
! [X2,X0,X1] : c_Lambda_Osubst(c_Lambda_OdB_OApp(X1,c_Lambda_OdB_OVar(X2)),X0,X2) = c_Lambda_OdB_OApp(c_Lambda_Osubst(X1,X0,X2),X0),
inference(superposition,[],[f444,f447]) ).
fof(f1860,plain,
! [X2,X0,X1] : c_Lambda_OdB_OApp(X0,X2) = c_Lambda_Osubst(c_Lambda_OdB_OApp(c_Lambda_Olift(X0,X1),c_Lambda_OdB_OVar(X1)),X2,X1),
inference(superposition,[],[f501,f463]) ).
fof(f1913,plain,
c_InductTermi_OIT(c_Lambda_OdB_OApp(v_u____,c_Lambda_Osubst(v_a____,v_u____,v_i____))),
inference(superposition,[],[f468,f1860]) ).
fof(f1924,plain,
$false,
inference(forward_subsumption_resolution,[],[f1913,f469]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL800-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n003.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 16:54:11 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 0.86/0.63 % (776568)Will run a generic schedule for satisfiability detection.
% 0.86/0.63 % (776578)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1893957452:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.86/0.63 % (776574)% WARNING: option uhcvi not known.
% 0.86/0.63 % (776573)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=110086191_2999 on theBenchmark for (2999ds/0Mi)
% 0.86/0.63 % (776574)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2442871072:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.86/0.63 % (776575)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1786692137:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.86/0.63 % (776576)dis+10_1_sil=32000:sp=arity:random_seed=2792746942:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.86/0.63 % (776577)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4104189455:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.86/0.63 % (776579)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2928787800:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.86/0.63 % TRYING [1]
% 0.86/0.63 % TRYING [2]
% 0.86/0.63 % (776578)Instruction limit reached!
% 0.86/0.63 % (776578)------------------------------
% 0.86/0.63 % (776578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.63 % (776578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.63 % (776578)CaDiCaL version: 2.1.3
% 0.86/0.63 % (776578)Termination reason: Instruction limit
% 0.86/0.63 % (776578)Termination phase: Saturation
% 0.86/0.63 % (776578)Time elapsed: 0.047 s
% 0.86/0.63 % (776578)Peak memory usage: 13 MB
% 0.86/0.63 % (776578)Instructions burned: 131 (million)
% 0.86/0.63 % (776587)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=681246420:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.86/0.63 % TRYING [3]
% 0.86/0.63 % (776576)Instruction limit reached!
% 0.86/0.63 % (776576)------------------------------
% 0.86/0.63 % (776576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.63 % (776576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.63 % (776576)CaDiCaL version: 2.1.3
% 0.86/0.63 % (776576)Termination reason: Instruction limit
% 0.86/0.63 % (776576)Termination phase: Saturation
% 0.86/0.63 % (776576)Time elapsed: 0.062 s
% 0.86/0.63 % (776576)Peak memory usage: 12 MB
% 0.86/0.63 % (776576)Instructions burned: 104 (million)
% 0.86/0.63 % TRYING [1]
% 0.86/0.63 % TRYING [2]
% 0.86/0.63 % (776577)Instruction limit reached!
% 0.86/0.63 % (776577)------------------------------
% 0.86/0.63 % (776577)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.63 % (776577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.63 % (776577)CaDiCaL version: 2.1.3
% 0.86/0.63 % (776577)Termination reason: Instruction limit
% 0.86/0.63 % (776577)Termination phase: Saturation
% 0.86/0.63 % (776577)Time elapsed: 0.073 s
% 0.86/0.63 % (776577)Peak memory usage: 12 MB
% 0.86/0.63 % (776577)Instructions burned: 117 (million)
% 0.86/0.63 % (776589)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1906764094:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.86/0.63 % TRYING [3]
% 0.86/0.63 % (776590)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=1264505975:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.86/0.63 % (776579)Instruction limit reached!
% 0.86/0.63 % (776579)------------------------------
% 0.86/0.63 % (776579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.63 % (776579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.63 % (776579)CaDiCaL version: 2.1.3
% 0.86/0.63 % (776579)Termination reason: Instruction limit
% 0.86/0.63 % (776579)Termination phase: Saturation
% 0.86/0.63 % (776579)Time elapsed: 0.102 s
% 0.86/0.63 % (776579)Peak memory usage: 13 MB
% 0.86/0.63 % (776579)Instructions burned: 159 (million)
% 0.86/0.63 % (776593)ott-21_1_sil=16000:fs=off:random_seed=4226175982:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.86/0.63 % TRYING [4]
% 0.86/0.63 % (776590) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-776568-776590"...
% 0.86/0.63 % (776590)...printing done.
% 0.86/0.63 % (776590)Refutation found. Thanks to Tanya!
% 0.86/0.63 % SZS status Unsatisfiable for theBenchmark
% 0.86/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 0.86/0.63 % (776590)------------------------------
% 0.86/0.63 % (776590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.86/0.63 % (776590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.86/0.63 % (776590)CaDiCaL version: 2.1.3
% 0.86/0.63 % (776590)Termination reason: Refutation
% 0.86/0.63 % (776590)Time elapsed: 0.053 s
% 0.86/0.63 % (776590)Peak memory usage: 14 MB
% 0.86/0.63 % (776590)Instructions burned: 85 (million)
% 0.86/0.63 % (776568)Success in time 0.194 s
% 0.86/0.63 % Vampire exiting
%------------------------------------------------------------------------------