TSTP Solution File: SET085-7 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET085-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n021.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 : Thu Aug 31 15:06:20 EDT 2023
% Result : Unsatisfiable 1.16s 1.18s
% Output : CNFRefutation 1.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of clauses : 23 ( 12 unt; 2 nHn; 18 RR)
% Number of literals : 34 ( 12 equ; 14 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 12 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_60,plain,
~ member(X0,null_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_null_class) ).
cnf(c_68,plain,
( unordered_pair(X0,X1) = singleton(X0)
| member(X1,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_equals_singleton1) ).
cnf(c_79,plain,
( ~ member(X0,universal_class)
| member(X0,singleton(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_in_its_singleton) ).
cnf(c_82,plain,
( ~ member(X0,singleton(X1))
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_member_in_singleton) ).
cnf(c_83,plain,
( singleton(X0) = null_class
| member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_is_null_class) ).
cnf(c_86,negated_conjecture,
unordered_pair(y,z) = singleton(x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair3_1) ).
cnf(c_87,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair3_2) ).
cnf(c_88,negated_conjecture,
y != x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair3_3) ).
cnf(c_89,negated_conjecture,
z != x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair3_4) ).
cnf(c_98,plain,
( ~ member(X0,universal_class)
| member(X0,unordered_pair(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
cnf(c_99,plain,
( ~ member(X0,universal_class)
| member(X0,unordered_pair(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair3) ).
cnf(c_5954,plain,
( ~ member(y,universal_class)
| member(y,singleton(x)) ),
inference(superposition,[status(thm)],[c_86,c_98]) ).
cnf(c_5962,plain,
( ~ member(y,universal_class)
| y = x ),
inference(superposition,[status(thm)],[c_5954,c_82]) ).
cnf(c_5963,plain,
~ member(y,universal_class),
inference(forward_subsumption_resolution,[status(thm)],[c_5962,c_88]) ).
cnf(c_5964,plain,
singleton(y) = null_class,
inference(superposition,[status(thm)],[c_83,c_5963]) ).
cnf(c_5992,plain,
( ~ member(z,universal_class)
| member(z,singleton(x)) ),
inference(superposition,[status(thm)],[c_86,c_99]) ).
cnf(c_6086,plain,
( ~ member(z,universal_class)
| z = x ),
inference(superposition,[status(thm)],[c_5992,c_82]) ).
cnf(c_6087,plain,
~ member(z,universal_class),
inference(forward_subsumption_resolution,[status(thm)],[c_6086,c_89]) ).
cnf(c_6369,plain,
unordered_pair(X0,z) = singleton(X0),
inference(superposition,[status(thm)],[c_68,c_6087]) ).
cnf(c_6370,plain,
singleton(y) = singleton(x),
inference(demodulation,[status(thm)],[c_86,c_6369]) ).
cnf(c_6371,plain,
singleton(x) = null_class,
inference(light_normalisation,[status(thm)],[c_6370,c_5964]) ).
cnf(c_6379,plain,
( ~ member(x,universal_class)
| member(x,null_class) ),
inference(superposition,[status(thm)],[c_6371,c_79]) ).
cnf(c_6387,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_6379,c_60,c_87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET085-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n021.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 : Sat Aug 26 11:05:27 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.22/0.48 Running first-order theorem proving
% 0.22/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.16/1.18 % SZS status Started for theBenchmark.p
% 1.16/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 1.16/1.18
% 1.16/1.18 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.16/1.18
% 1.16/1.18 ------ iProver source info
% 1.16/1.18
% 1.16/1.18 git: date: 2023-05-31 18:12:56 +0000
% 1.16/1.18 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.16/1.18 git: non_committed_changes: false
% 1.16/1.18 git: last_make_outside_of_git: false
% 1.16/1.18
% 1.16/1.18 ------ Parsing...successful
% 1.16/1.18
% 1.16/1.18
% 1.16/1.18
% 1.16/1.18 ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 1.16/1.18
% 1.16/1.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.16/1.18
% 1.16/1.18 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.16/1.18 ------ Proving...
% 1.16/1.18 ------ Problem Properties
% 1.16/1.18
% 1.16/1.18
% 1.16/1.18 clauses 122
% 1.16/1.18 conjectures 4
% 1.16/1.18 EPR 20
% 1.16/1.18 Horn 107
% 1.16/1.18 unary 45
% 1.16/1.18 binary 47
% 1.16/1.18 lits 235
% 1.16/1.18 lits eq 62
% 1.16/1.18 fd_pure 0
% 1.16/1.18 fd_pseudo 0
% 1.16/1.18 fd_cond 5
% 1.16/1.18 fd_pseudo_cond 11
% 1.16/1.18 AC symbols 0
% 1.16/1.18
% 1.16/1.18 ------ Schedule dynamic 5 is on
% 1.16/1.18
% 1.16/1.18 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.16/1.18
% 1.16/1.18
% 1.16/1.18 ------
% 1.16/1.18 Current options:
% 1.16/1.18 ------
% 1.16/1.18
% 1.16/1.18
% 1.16/1.18
% 1.16/1.18
% 1.16/1.18 ------ Proving...
% 1.16/1.18
% 1.16/1.18
% 1.16/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 1.16/1.18
% 1.16/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.16/1.18
% 1.16/1.18
%------------------------------------------------------------------------------