TSTP Solution File: DAT088_1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : DAT088_1 : TPTP v8.1.2. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.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 : Wed Aug 30 22:15:37 EDT 2023
% Result : Theorem 3.56s 1.20s
% Output : CNFRefutation 3.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : DAT088_1 : TPTP v8.1.2. Released v6.1.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 14:35:23 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running TFA theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.56/1.20 % SZS status Started for theBenchmark.p
% 3.56/1.20 % SZS status Theorem for theBenchmark.p
% 3.56/1.20
% 3.56/1.20 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.56/1.20
% 3.56/1.20 ------ iProver source info
% 3.56/1.20
% 3.56/1.20 git: date: 2023-05-31 18:12:56 +0000
% 3.56/1.20 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.56/1.20 git: non_committed_changes: false
% 3.56/1.20 git: last_make_outside_of_git: false
% 3.56/1.20
% 3.56/1.20 ------ Parsing...
% 3.56/1.20 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.56/1.20
% 3.56/1.20 ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 3.56/1.20
% 3.56/1.20 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.56/1.20
% 3.56/1.20 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.56/1.20 ------ Proving...
% 3.56/1.20 ------ Problem Properties
% 3.56/1.20
% 3.56/1.20
% 3.56/1.20 clauses 38
% 3.56/1.20 conjectures 1
% 3.56/1.20 EPR 5
% 3.56/1.20 Horn 25
% 3.56/1.20 unary 19
% 3.56/1.20 binary 8
% 3.56/1.20 lits 69
% 3.56/1.20 lits eq 33
% 3.56/1.20 fd_pure 0
% 3.56/1.20 fd_pseudo 0
% 3.56/1.20 fd_cond 4
% 3.56/1.20 fd_pseudo_cond 2
% 3.56/1.20 AC symbols 1
% 3.56/1.20
% 3.56/1.20 ------ Input Options Time Limit: Unbounded
% 3.56/1.20
% 3.56/1.20
% 3.56/1.20 ------
% 3.56/1.20 Current options:
% 3.56/1.20 ------
% 3.56/1.20
% 3.56/1.20
% 3.56/1.20
% 3.56/1.20
% 3.56/1.20 ------ Proving...
% 3.56/1.20
% 3.56/1.20
% 3.56/1.20 % SZS status Theorem for theBenchmark.p
% 3.56/1.20
% 3.56/1.20 % SZS output start CNFRefutation for theBenchmark.p
% 3.56/1.20
% 3.56/1.20 tff(f2,axiom,(
% 3.56/1.20 ! [X0 : $int,X1 : list] : tail(cons(X0,X1)) = X1),
% 3.56/1.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2)).
% 3.56/1.20
% 3.56/1.20 tff(f4,axiom,(
% 3.56/1.20 ! [X0 : $int,X1 : list] : cons(X0,X1) != nil),
% 3.56/1.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l4)).
% 3.56/1.20
% 3.56/1.20 tff(f11,axiom,(
% 3.56/1.20 ! [X0 : $int,X3 : $int,X4 : list,X5 : $int] : (X0 = X3 => count(X0,cons(X3,X4)) = $sum(count(X0,X4),1))),
% 3.56/1.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_4)).
% 3.56/1.20
% 3.56/1.20 tff(f15,conjecture,(
% 3.56/1.20 ~! [X5 : $int,X1 : list] : (nil != X1 => count(X5,X1) = count(X5,tail(X1)))),
% 3.56/1.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c)).
% 3.56/1.20
% 3.56/1.20 tff(f16,negated_conjecture,(
% 3.56/1.20 ~~! [X5 : $int,X1 : list] : (nil != X1 => count(X5,X1) = count(X5,tail(X1)))),
% 3.56/1.20 inference(negated_conjecture,[],[f15])).
% 3.56/1.20
% 3.56/1.20 tff(f19,plain,(
% 3.56/1.20 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 3.56/1.20 introduced(theory_axiom_138,[])).
% 3.56/1.20
% 3.56/1.20 tff(f20,plain,(
% 3.56/1.20 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 3.56/1.20 introduced(theory_axiom_139,[])).
% 3.56/1.20
% 3.56/1.20 tff(f36,plain,(
% 3.56/1.20 ! [X0 : $int,X1 : $int,X2 : list] : (X0 = X1 => count(X0,cons(X1,X2)) = $sum(count(X0,X2),1))),
% 3.56/1.20 inference(rectify,[],[f11])).
% 3.56/1.20
% 3.56/1.20 tff(f40,plain,(
% 3.56/1.20 ~~! [X0 : $int,X1 : list] : (nil != X1 => count(X0,X1) = count(X0,tail(X1)))),
% 3.56/1.20 inference(rectify,[],[f16])).
% 3.56/1.20
% 3.56/1.20 tff(f41,plain,(
% 3.56/1.20 ! [X0 : $int,X1 : list] : (nil != X1 => count(X0,X1) = count(X0,tail(X1)))),
% 3.56/1.20 inference(flattening,[],[f40])).
% 3.56/1.20
% 3.56/1.20 tff(f43,plain,(
% 3.56/1.20 ! [X0 : $int,X1 : $int,X2 : list] : (count(X0,cons(X1,X2)) = $sum(count(X0,X2),1) | X0 != X1)),
% 3.56/1.20 inference(ennf_transformation,[],[f36])).
% 3.56/1.20
% 3.56/1.20 tff(f44,plain,(
% 3.56/1.20 ! [X0 : $int,X1 : list] : (count(X0,X1) = count(X0,tail(X1)) | nil = X1)),
% 3.56/1.20 inference(ennf_transformation,[],[f41])).
% 3.56/1.20
% 3.56/1.20 tff(f58,plain,(
% 3.56/1.20 ( ! [X0 : $int,X1 : list] : (tail(cons(X0,X1)) = X1) )),
% 3.56/1.20 inference(cnf_transformation,[],[f2])).
% 3.56/1.20
% 3.56/1.20 tff(f60,plain,(
% 3.56/1.20 ( ! [X0 : $int,X1 : list] : (cons(X0,X1) != nil) )),
% 3.56/1.20 inference(cnf_transformation,[],[f4])).
% 3.56/1.20
% 3.56/1.20 tff(f77,plain,(
% 3.56/1.20 ( ! [X2 : list,X0 : $int,X1 : $int] : (count(X0,cons(X1,X2)) = $sum(count(X0,X2),1) | X0 != X1) )),
% 3.56/1.20 inference(cnf_transformation,[],[f43])).
% 3.56/1.20
% 3.56/1.20 tff(f82,plain,(
% 3.56/1.20 ( ! [X0 : $int,X1 : list] : (count(X0,X1) = count(X0,tail(X1)) | nil = X1) )),
% 3.56/1.20 inference(cnf_transformation,[],[f44])).
% 3.56/1.20
% 3.56/1.20 tff(f88,plain,(
% 3.56/1.20 ( ! [X2 : list,X1 : $int] : (count(X1,cons(X1,X2)) = $sum(count(X1,X2),1)) )),
% 3.56/1.20 inference(equality_resolution,[],[f77])).
% 3.56/1.20
% 3.56/1.20 cnf(c_59,plain,
% 3.56/1.20 ($sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3))),
% 3.56/1.20 inference(cnf_transformation,[],[f20])).
% 3.56/1.20
% 3.56/1.20 cnf(c_60,plain,
% 3.56/1.20 ($sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3)),
% 3.56/1.20 inference(cnf_transformation,[],[f19])).
% 3.56/1.20
% 3.56/1.20 cnf(c_62,plain,
% 3.56/1.20 (tail(cons(X0_3,X0_13)) = X0_13),
% 3.56/1.20 inference(cnf_transformation,[],[f58])).
% 3.56/1.20
% 3.56/1.20 cnf(c_64,plain,
% 3.56/1.20 (cons(X0_3,X0_13) != nil),
% 3.56/1.20 inference(cnf_transformation,[],[f60])).
% 3.56/1.20
% 3.56/1.20 cnf(c_81,plain,
% 3.56/1.20 (count(X0_3,cons(X0_3,X0_13)) = $sum_int(count(X0_3,X0_13),1)),
% 3.56/1.20 inference(cnf_transformation,[],[f88])).
% 3.56/1.20
% 3.56/1.20 cnf(c_86,negated_conjecture,
% 3.56/1.20 (count(X0_3,tail(X0_13)) = count(X0_3,X0_13)|X0_13 = nil),
% 3.56/1.20 inference(cnf_transformation,[],[f82])).
% 3.56/1.20
% 3.56/1.20 cnf(c_120,plain,
% 3.56/1.20 (count(X0_3,cons(X0_3,X0_13)) = $sum_int(1,count(X0_3,X0_13))),
% 3.56/1.20 inference(theory_normalisation,[status(thm)],[c_81,c_59,c_60])).
% 3.56/1.20
% 3.56/1.20 cnf(c_1490,plain,
% 3.56/1.20 (count(X1_3,cons(X0_3,X0_13)) = count(X1_3,X0_13)|cons(X0_3,X0_13) = nil),
% 3.56/1.20 inference(superposition,[status(thm)],[c_62,c_86])).
% 3.56/1.20
% 3.56/1.20 cnf(c_1500,plain,
% 3.56/1.20 (count(X1_3,cons(X0_3,X0_13)) = count(X1_3,X0_13)),
% 3.56/1.20 inference(global_subsumption_just,[status(thm)],[c_1490,c_64,c_1490])).
% 3.56/1.20
% 3.56/1.20 cnf(c_1501,plain,
% 3.56/1.20 (count(X0_3,cons(X1_3,X0_13)) = count(X0_3,X0_13)),
% 3.56/1.20 inference(renaming,[status(thm)],[c_1500])).
% 3.56/1.20
% 3.56/1.20 cnf(c_1503,plain,
% 3.56/1.20 ($sum_int(1,count(X0_3,X0_13)) = count(X0_3,X0_13)),
% 3.56/1.20 inference(demodulation,[status(thm)],[c_120,c_1501])).
% 3.56/1.20
% 3.56/1.20 cnf(c_1505,plain,
% 3.56/1.20 ($false),
% 3.56/1.20 inference(smt_theory_normalisation,[status(thm)],[c_1503])).
% 3.56/1.20
% 3.56/1.20
% 3.56/1.20 % SZS output end CNFRefutation for theBenchmark.p
% 3.56/1.20
% 3.56/1.20
%------------------------------------------------------------------------------