%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n001.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 11:56:51 AM UTC 2026
% Result : Unsatisfiable 4.06s 1.55s
% Output : Refutation 4.06s
% 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(f1146,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(f2876,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,f1146]) ).
fof(f2925,plain,
c_InductTermi_OIT(c_Lambda_OdB_OApp(v_s____,v_ta____)),
inference(forward_demodulation,[],[f2876,f416]) ).
fof(f2929,plain,
$false,
inference(forward_subsumption_resolution,[],[f2925,f462]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % 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 THM
% 0.10/0.37 % Computer : n001.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 17:06:47 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.06/1.55 % (3800187)Input is clausal, will run a generic CNF schedule.
% 4.06/1.55 % (3800194)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2976777113:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.06/1.55 % (3800193)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=991936543:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.06/1.55 % (3800197)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1751675294:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.06/1.55 % (3800192)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=3780066140:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.06/1.55 % (3800198)dis-21_1_sil=8000:lcm=predicate:random_seed=184232944: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)
% 4.06/1.55 % (3800196)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3486479624:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.06/1.55 % (3800195)lrs+10_1_sil=8000:sp=occurrence:random_seed=4203650151:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.06/1.55 % (3800198)Instruction limit reached!
% 4.06/1.55 % (3800198)------------------------------
% 4.06/1.55 % (3800198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.06/1.55 % (3800198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.06/1.55 % (3800198)CaDiCaL version: 2.1.3
% 4.06/1.55 % (3800198)Termination reason: Instruction limit
% 4.06/1.55 % (3800198)Termination phase: Saturation
% 4.06/1.55 % (3800198)Time elapsed: 0.062 s
% 4.06/1.55 % (3800198)Peak memory usage: 88 MB
% 4.06/1.55 % (3800198)Instructions burned: 117 (million)
% 4.06/1.55 % (3800195)First to succeed.
% 4.06/1.55 % (3800196)Instruction limit reached!
% 4.06/1.55 % (3800196)------------------------------
% 4.06/1.55 % (3800196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.06/1.55 % (3800196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.06/1.55 % (3800196)CaDiCaL version: 2.1.3
% 4.06/1.55 % (3800196)Termination reason: Instruction limit
% 4.06/1.55 % (3800196)Termination phase: Saturation
% 4.06/1.55 % (3800196)Time elapsed: 0.073 s
% 4.06/1.55 % (3800196)Peak memory usage: 89 MB
% 4.06/1.55 % (3800196)Instructions burned: 114 (million)
% 4.06/1.55 % (3800195)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3800187"
% 4.06/1.55 % (3800197)Also succeeded, but the first one will report.
% 4.06/1.55 % (3800206)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=467181752:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.06/1.55 % (3800206)Refutation not found, incomplete strategy
% 4.06/1.55 % (3800206)------------------------------
% 4.06/1.55 % (3800206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.06/1.55 % (3800206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.06/1.55 % (3800206)CaDiCaL version: 2.1.3
% 4.06/1.55 % (3800206)Termination reason: Refutation not found, incomplete strategy
% 4.06/1.55 % (3800206)Time elapsed: 0.003 s
% 4.06/1.55 % (3800206)Peak memory usage: 88 MB
% 4.06/1.55 % (3800206)Instructions burned: 3 (million)
% 4.06/1.55 % (3800207)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1150096011: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)
% 4.06/1.55 % (3800207)Refutation not found, incomplete strategy
% 4.06/1.55 % (3800207)------------------------------
% 4.06/1.55 % (3800207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.06/1.55 % (3800207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.06/1.55 % (3800207)CaDiCaL version: 2.1.3
% 4.06/1.55 % (3800207)Termination reason: Refutation not found, incomplete strategy
% 4.06/1.55 % (3800207)Time elapsed: 0.009 s
% 4.06/1.55 % (3800207)Peak memory usage: 88 MB
% 4.06/1.55 % (3800207)Instructions burned: 15 (million)
% 4.06/1.55 % (3800194)Also succeeded, but the first one will report.
% 4.06/1.55 % (3800195)Refutation found. Thanks to Tanya!
% 4.06/1.55 % SZS status Unsatisfiable for theBenchmark
% 4.06/1.55 % SZS output start Proof for theBenchmark
% See solution above
% 4.06/1.55 % (3800195)------------------------------
% 4.06/1.55 % (3800195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.06/1.55 % (3800195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.06/1.55 % (3800195)CaDiCaL version: 2.1.3
% 4.06/1.55 % (3800195)Termination reason: Refutation
% 4.06/1.55 % (3800195)Time elapsed: 0.073 s
% 4.06/1.55 % (3800195)Peak memory usage: 89 MB
% 4.06/1.55 % (3800195)Instructions burned: 107 (million)
% 4.06/1.55 % (3800195)------------------------------
% 4.06/1.55 % (3800195)------------------------------
% 4.06/1.55 % (3800187)Success in time 0.498 s
% 4.06/1.55 % Vampire exiting
%------------------------------------------------------------------------------