%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n026.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 11:56:50 AM UTC 2026
% Result : Unsatisfiable 3.90s 1.51s
% Output : Refutation 3.90s
% 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(f959,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(f1827,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,f959]) ).
fof(f1842,plain,
$false,
inference(trivial_inequality_removal,[],[f1827]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL849-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n026.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 17:03:27 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.90/1.51 % (3066469)Input is clausal, will run a generic CNF schedule.
% 3.90/1.51 % (3066477)lrs+10_1_sil=8000:sp=occurrence:random_seed=1036753250:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.90/1.51 % (3066478)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3999159211:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.90/1.51 % (3066480)dis-21_1_sil=8000:lcm=predicate:random_seed=2485464886:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.90/1.51 % (3066476)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2038938179:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.90/1.51 % (3066479)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2994646760:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.90/1.51 % (3066475)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3666614661:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.90/1.51 % (3066474)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=1684614380:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.90/1.51 % (3066477)Instruction limit reached!
% 3.90/1.51 % (3066477)------------------------------
% 3.90/1.51 % (3066477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.51 % (3066477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.51 % (3066477)CaDiCaL version: 2.1.3
% 3.90/1.51 % (3066477)Termination reason: Instruction limit
% 3.90/1.51 % (3066477)Termination phase: Saturation
% 3.90/1.51 % (3066477)Time elapsed: 0.042 s
% 3.90/1.51 % (3066477)Peak memory usage: 89 MB
% 3.90/1.51 % (3066477)Instructions burned: 109 (million)
% 3.90/1.51 % (3066479)First to succeed.
% 3.90/1.51 % (3066479)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3066469"
% 3.90/1.51 % (3066480)Instruction limit reached!
% 3.90/1.51 % (3066480)------------------------------
% 3.90/1.51 % (3066480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.51 % (3066480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.51 % (3066480)CaDiCaL version: 2.1.3
% 3.90/1.51 % (3066480)Termination reason: Instruction limit
% 3.90/1.51 % (3066480)Termination phase: Saturation
% 3.90/1.51 % (3066480)Time elapsed: 0.065 s
% 3.90/1.51 % (3066480)Peak memory usage: 89 MB
% 3.90/1.51 % (3066480)Instructions burned: 117 (million)
% 3.90/1.51 % (3066478)Instruction limit reached!
% 3.90/1.51 % (3066478)------------------------------
% 3.90/1.51 % (3066478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.51 % (3066478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.51 % (3066478)CaDiCaL version: 2.1.3
% 3.90/1.51 % (3066478)Termination reason: Instruction limit
% 3.90/1.51 % (3066478)Termination phase: Saturation
% 3.90/1.51 % (3066478)Time elapsed: 0.078 s
% 3.90/1.51 % (3066478)Peak memory usage: 89 MB
% 3.90/1.51 % (3066478)Instructions burned: 114 (million)
% 3.90/1.51 % (3066488)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=891167979:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.90/1.51 % (3066488)Refutation not found, incomplete strategy
% 3.90/1.51 % (3066488)------------------------------
% 3.90/1.51 % (3066488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.51 % (3066488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.51 % (3066488)CaDiCaL version: 2.1.3
% 3.90/1.51 % (3066488)Termination reason: Refutation not found, incomplete strategy
% 3.90/1.51 % (3066488)Time elapsed: 0.004 s
% 3.90/1.51 % (3066488)Peak memory usage: 88 MB
% 3.90/1.51 % (3066488)Instructions burned: 9 (million)
% 3.90/1.51 % (3066489)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1548471317:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.90/1.51 % (3066490)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3358925779:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.90/1.51 % (3066490)Refutation not found, incomplete strategy
% 3.90/1.51 % (3066490)------------------------------
% 3.90/1.51 % (3066490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.51 % (3066490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.51 % (3066490)CaDiCaL version: 2.1.3
% 3.90/1.51 % (3066490)Termination reason: Refutation not found, incomplete strategy
% 3.90/1.51 % (3066490)Time elapsed: 0.016 s
% 3.90/1.51 % (3066490)Peak memory usage: 88 MB
% 3.90/1.51 % (3066490)Instructions burned: 26 (million)
% 3.90/1.51 % (3066488)------------------------------
% 3.90/1.51 % (3066488)------------------------------
% 3.90/1.51 % (3066489)Instruction limit reached!
% 3.90/1.51 % (3066489)------------------------------
% 3.90/1.51 % (3066489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.51 % (3066489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.51 % (3066489)CaDiCaL version: 2.1.3
% 3.90/1.51 % (3066489)Termination reason: Instruction limit
% 3.90/1.51 % (3066489)Termination phase: Saturation
% 3.90/1.51 % (3066489)Time elapsed: 0.101 s
% 3.90/1.51 % (3066489)Peak memory usage: 90 MB
% 3.90/1.51 % (3066489)Instructions burned: 189 (million)
% 3.90/1.51 % (3066479)Refutation found. Thanks to Tanya!
% 3.90/1.51 % SZS status Unsatisfiable for theBenchmark
% 3.90/1.51 % SZS output start Proof for theBenchmark
% See solution above
% 3.90/1.51 % (3066479)------------------------------
% 3.90/1.51 % (3066479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.51 % (3066479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.51 % (3066479)CaDiCaL version: 2.1.3
% 3.90/1.51 % (3066479)Termination reason: Refutation
% 3.90/1.51 % (3066479)Time elapsed: 0.064 s
% 3.90/1.51 % (3066479)Peak memory usage: 90 MB
% 3.90/1.51 % (3066479)Instructions burned: 86 (million)
% 3.90/1.51 % (3066479)------------------------------
% 3.90/1.51 % (3066479)------------------------------
% 3.90/1.51 % (3066469)Success in time 0.485 s
% 3.90/1.51 % Vampire exiting
%------------------------------------------------------------------------------