TSTP Solution File: COL078-2 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : COL078-2 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:09:48 EDT 2024
% Result : Unsatisfiable 4.22s 1.21s
% Output : CNFRefutation 4.22s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
apply(k(X0),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_definition) ).
cnf(c_50,plain,
apply(apply(X0,k(X1)),apply(X2,X1)) = apply(apply(apply(abstraction,X0),X2),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstraction) ).
cnf(c_51,plain,
( apply(X0,n(X0,X1)) != apply(X1,n(X0,X1))
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extensionality2) ).
cnf(c_52,plain,
apply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_definition) ).
cnf(c_53,negated_conjecture,
apply(apply(apply(abstraction,abstraction),abstraction),abstraction) != k(k(identity)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_TRC1b) ).
cnf(c_76,plain,
apply(abstraction,abstraction) = sP0_iProver_def,
definition ).
cnf(c_77,plain,
apply(sP0_iProver_def,abstraction) = sP1_iProver_def,
definition ).
cnf(c_78,plain,
apply(sP1_iProver_def,abstraction) = sP2_iProver_def,
definition ).
cnf(c_79,plain,
k(identity) = sP3_iProver_def,
definition ).
cnf(c_80,plain,
k(sP3_iProver_def) = sP4_iProver_def,
definition ).
cnf(c_81,negated_conjecture,
sP2_iProver_def != sP4_iProver_def,
inference(demodulation,[status(thm)],[c_53,c_79,c_80,c_76,c_77,c_78]) ).
cnf(c_129,plain,
apply(sP3_iProver_def,X0) = identity,
inference(superposition,[status(thm)],[c_79,c_49]) ).
cnf(c_130,plain,
apply(sP4_iProver_def,X0) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_80,c_49]) ).
cnf(c_133,plain,
apply(apply(apply(abstraction,k(X0)),X1),X2) = apply(X0,apply(X1,X2)),
inference(superposition,[status(thm)],[c_49,c_50]) ).
cnf(c_141,plain,
apply(apply(apply(abstraction,X0),abstraction),abstraction) = apply(apply(X0,k(abstraction)),sP0_iProver_def),
inference(superposition,[status(thm)],[c_76,c_50]) ).
cnf(c_166,plain,
( apply(X0,n(X0,identity)) != n(X0,identity)
| X0 = identity ),
inference(superposition,[status(thm)],[c_52,c_51]) ).
cnf(c_167,plain,
( apply(X0,n(X0,sP3_iProver_def)) != identity
| X0 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_129,c_51]) ).
cnf(c_199,plain,
( apply(X0,n(sP4_iProver_def,X0)) != sP3_iProver_def
| X0 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_130,c_51]) ).
cnf(c_384,plain,
apply(apply(apply(apply(abstraction,abstraction),X0),X1),X2) = apply(X1,apply(apply(X0,X1),X2)),
inference(superposition,[status(thm)],[c_50,c_133]) ).
cnf(c_396,plain,
apply(X0,apply(apply(X1,X0),X2)) = apply(apply(apply(sP0_iProver_def,X1),X0),X2),
inference(light_normalisation,[status(thm)],[c_384,c_76]) ).
cnf(c_1377,plain,
apply(apply(abstraction,k(abstraction)),sP0_iProver_def) = apply(apply(sP0_iProver_def,abstraction),abstraction),
inference(superposition,[status(thm)],[c_76,c_141]) ).
cnf(c_1389,plain,
apply(apply(abstraction,k(abstraction)),sP0_iProver_def) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_1377,c_77,c_78]) ).
cnf(c_1430,plain,
apply(abstraction,apply(sP0_iProver_def,X0)) = apply(sP2_iProver_def,X0),
inference(superposition,[status(thm)],[c_1389,c_133]) ).
cnf(c_4583,plain,
apply(apply(apply(sP0_iProver_def,X0),k(X1)),X2) = X1,
inference(superposition,[status(thm)],[c_396,c_49]) ).
cnf(c_4981,plain,
apply(apply(apply(abstraction,apply(sP0_iProver_def,X0)),X1),X2) = X2,
inference(superposition,[status(thm)],[c_4583,c_50]) ).
cnf(c_5006,plain,
apply(apply(apply(sP2_iProver_def,X0),X1),X2) = X2,
inference(light_normalisation,[status(thm)],[c_4981,c_1430]) ).
cnf(c_5259,plain,
apply(apply(sP2_iProver_def,X0),X1) = identity,
inference(superposition,[status(thm)],[c_5006,c_166]) ).
cnf(c_5378,plain,
apply(sP2_iProver_def,X0) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_5259,c_167]) ).
cnf(c_5452,plain,
sP2_iProver_def = sP4_iProver_def,
inference(superposition,[status(thm)],[c_5378,c_199]) ).
cnf(c_5455,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5452,c_81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : COL078-2 : TPTP v8.1.2. Released v1.2.0.
% 0.08/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 2 21:26:29 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.22/1.21 % SZS status Started for theBenchmark.p
% 4.22/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 4.22/1.21
% 4.22/1.21 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.22/1.21
% 4.22/1.21 ------ iProver source info
% 4.22/1.21
% 4.22/1.21 git: date: 2024-05-02 19:28:25 +0000
% 4.22/1.21 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.22/1.21 git: non_committed_changes: false
% 4.22/1.21
% 4.22/1.21 ------ Parsing...successful
% 4.22/1.21
% 4.22/1.21
% 4.22/1.21
% 4.22/1.21 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 4.22/1.21
% 4.22/1.21 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.22/1.21
% 4.22/1.21 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 4.22/1.21 ------ Proving...
% 4.22/1.21 ------ Problem Properties
% 4.22/1.21
% 4.22/1.21
% 4.22/1.21 clauses 10
% 4.22/1.21 conjectures 1
% 4.22/1.21 EPR 1
% 4.22/1.21 Horn 10
% 4.22/1.21 unary 9
% 4.22/1.21 binary 1
% 4.22/1.21 lits 11
% 4.22/1.21 lits eq 11
% 4.22/1.21 fd_pure 0
% 4.22/1.21 fd_pseudo 0
% 4.22/1.21 fd_cond 0
% 4.22/1.21 fd_pseudo_cond 1
% 4.22/1.21 AC symbols 0
% 4.22/1.21
% 4.22/1.21 ------ Schedule dynamic 5 is on
% 4.22/1.21
% 4.22/1.21 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.22/1.21
% 4.22/1.21
% 4.22/1.21 ------
% 4.22/1.21 Current options:
% 4.22/1.21 ------
% 4.22/1.21
% 4.22/1.21
% 4.22/1.21
% 4.22/1.21
% 4.22/1.21 ------ Proving...
% 4.22/1.21
% 4.22/1.21
% 4.22/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 4.22/1.21
% 4.22/1.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.22/1.21
% 4.22/1.21
%------------------------------------------------------------------------------