TSTP Solution File: SYN036-4 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SYN036-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n031.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 03:28:40 EDT 2024
% Result : Unsatisfiable 1.87s 1.18s
% Output : CNFRefutation 1.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 19
% Syntax : Number of clauses : 84 ( 1 unt; 44 nHn; 33 RR)
% Number of literals : 306 ( 0 equ; 158 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 8 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-1 aty)
% Number of variables : 132 ( 84 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( ~ p(cx)
| ~ q(cw)
| p(X0)
| q(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
cnf(c_50,negated_conjecture,
( ~ q(X0)
| ~ p(cx)
| p(X1)
| q(cw) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
cnf(c_51,negated_conjecture,
( ~ p(X0)
| ~ q(cw)
| q(X1)
| p(cx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
cnf(c_52,negated_conjecture,
( ~ p(X0)
| ~ q(X1)
| p(cx)
| q(cw) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
cnf(c_53,negated_conjecture,
( ~ p(fy5(X0))
| ~ p(X0)
| ~ p(cx)
| ~ q(cw)
| q(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
cnf(c_54,negated_conjecture,
( ~ p(fy5(X0))
| ~ p(X0)
| ~ q(X1)
| ~ p(cx)
| q(cw) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
cnf(c_55,negated_conjecture,
( ~ q(fz5(X0))
| ~ q(X0)
| ~ p(cx)
| ~ q(cw)
| p(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
cnf(c_57,negated_conjecture,
( ~ q(fz(X0))
| ~ q(X0)
| ~ p(cx)
| p(X1)
| q(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
cnf(c_58,negated_conjecture,
( ~ p(cx)
| q(fz(X0))
| p(X1)
| q(X0)
| q(cw) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).
cnf(c_61,negated_conjecture,
( ~ p(fy5(X0))
| ~ p(X1)
| ~ q(X2)
| p(X3)
| q(cw) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_13) ).
cnf(c_62,negated_conjecture,
( ~ p(X0)
| ~ q(X1)
| p(fy5(X2))
| p(X2)
| q(cw) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14) ).
cnf(c_63,negated_conjecture,
( ~ p(X0)
| q(fz(X1))
| q(X1)
| p(cx)
| q(cw) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15) ).
cnf(c_64,negated_conjecture,
( ~ q(fz5(X0))
| ~ p(X1)
| ~ q(X0)
| ~ q(cw)
| p(cx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16) ).
cnf(c_67,negated_conjecture,
( ~ q(cw)
| p(fy(X0))
| p(X0)
| q(X1)
| p(cx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_19) ).
cnf(c_68,negated_conjecture,
( ~ q(X0)
| p(fy(X1))
| p(X1)
| p(cx)
| q(cw) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_20) ).
cnf(c_70,negated_conjecture,
( ~ p(fy(X0))
| ~ p(X0)
| ~ p(cx)
| q(fz(X1))
| q(X1)
| q(cw) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_22) ).
cnf(c_71,negated_conjecture,
( ~ p(fy5(X0))
| ~ q(fz5(X1))
| ~ p(X0)
| ~ q(X1)
| ~ p(cx)
| ~ q(cw) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_23) ).
cnf(c_78,negated_conjecture,
( ~ q(fz(X0))
| ~ q(X0)
| ~ q(cw)
| p(fy(X1))
| p(X1)
| p(cx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_30) ).
cnf(c_80,negated_conjecture,
( p(fy5(X0))
| q(fz5(X1))
| p(X0)
| q(X1)
| p(cx)
| q(cw) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_32) ).
cnf(c_91,plain,
( p(X1)
| p(fy(X1))
| ~ q(X0)
| q(cw) ),
inference(global_subsumption_just,[status(thm)],[c_68,c_50,c_68]) ).
cnf(c_92,negated_conjecture,
( ~ q(X0)
| p(fy(X1))
| p(X1)
| q(cw) ),
inference(renaming,[status(thm)],[c_91]) ).
cnf(c_93,plain,
( p(fy(X0))
| ~ q(cw)
| q(X1)
| p(cx) ),
inference(global_subsumption_just,[status(thm)],[c_67,c_51,c_67]) ).
cnf(c_94,negated_conjecture,
( ~ q(cw)
| p(fy(X0))
| q(X1)
| p(cx) ),
inference(renaming,[status(thm)],[c_93]) ).
cnf(c_95,plain,
( q(fz(X1))
| ~ p(X0)
| p(cx)
| q(cw) ),
inference(global_subsumption_just,[status(thm)],[c_63,c_52,c_63]) ).
cnf(c_96,negated_conjecture,
( ~ p(X0)
| q(fz(X1))
| p(cx)
| q(cw) ),
inference(renaming,[status(thm)],[c_95]) ).
cnf(c_97,plain,
( p(X1)
| q(fz(X0))
| ~ p(cx)
| q(cw) ),
inference(global_subsumption_just,[status(thm)],[c_58,c_50,c_58]) ).
cnf(c_98,negated_conjecture,
( ~ p(cx)
| q(fz(X0))
| p(X1)
| q(cw) ),
inference(renaming,[status(thm)],[c_97]) ).
cnf(c_99,plain,
( ~ p(cx)
| ~ q(X0)
| ~ q(fz5(X0))
| p(X1) ),
inference(global_subsumption_just,[status(thm)],[c_55,c_50,c_55]) ).
cnf(c_100,negated_conjecture,
( ~ q(fz5(X0))
| ~ q(X0)
| ~ p(cx)
| p(X1) ),
inference(renaming,[status(thm)],[c_99]) ).
cnf(c_101,plain,
( ~ q(X1)
| ~ p(X0)
| ~ p(fy5(X0))
| q(cw) ),
inference(global_subsumption_just,[status(thm)],[c_54,c_52,c_54]) ).
cnf(c_102,negated_conjecture,
( ~ p(fy5(X0))
| ~ p(X0)
| ~ q(X1)
| q(cw) ),
inference(renaming,[status(thm)],[c_101]) ).
cnf(c_103,negated_conjecture,
( ~ p(fy5(X0))
| ~ p(cx)
| ~ q(cw)
| q(X1) ),
inference(global_subsumption_just,[status(thm)],[c_53,c_49,c_53]) ).
cnf(c_109,plain,
( ~ q(X0)
| ~ q(fz(X0))
| p(fy(X1))
| p(X1)
| p(cx) ),
inference(global_subsumption_just,[status(thm)],[c_78,c_50,c_68,c_78]) ).
cnf(c_110,negated_conjecture,
( ~ q(fz(X0))
| ~ q(X0)
| p(fy(X1))
| p(X1)
| p(cx) ),
inference(renaming,[status(thm)],[c_109]) ).
cnf(c_111,plain,
( ~ p(X0)
| ~ p(fy(X0))
| q(fz(X1))
| q(X1)
| q(cw) ),
inference(global_subsumption_just,[status(thm)],[c_70,c_70,c_96]) ).
cnf(c_112,negated_conjecture,
( ~ p(fy(X0))
| ~ p(X0)
| q(fz(X1))
| q(X1)
| q(cw) ),
inference(renaming,[status(thm)],[c_111]) ).
cnf(c_118,plain,
( ~ p(X0)
| ~ q(fz5(X1))
| ~ p(fy5(X0))
| ~ p(cx)
| ~ q(cw) ),
inference(global_subsumption_just,[status(thm)],[c_71,c_49,c_53,c_71]) ).
cnf(c_119,negated_conjecture,
( ~ p(fy5(X0))
| ~ q(fz5(X1))
| ~ p(X0)
| ~ p(cx)
| ~ q(cw) ),
inference(renaming,[status(thm)],[c_118]) ).
cnf(c_125,plain,
( ~ q(cw)
| p(fy(X0))
| q(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_94,c_49]) ).
cnf(c_127,plain,
( ~ p(cx)
| q(fz(X0))
| p(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_98,c_49]) ).
cnf(c_129,plain,
( ~ p(cx)
| ~ q(cw)
| q(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_103,c_49]) ).
cnf(c_144,plain,
( ~ q(X0)
| ~ p(cx)
| p(X1)
| q(X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_57,c_127]) ).
cnf(c_150,plain,
( ~ p(X0)
| ~ q(cw)
| q(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_51,c_129]) ).
cnf(c_153,plain,
( ~ p(fy5(X0))
| ~ p(X0)
| ~ p(cx)
| ~ q(cw) ),
inference(backward_subsumption_resolution,[status(thm)],[c_119,c_129]) ).
cnf(c_159,plain,
( ~ q(cw)
| q(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_125,c_150]) ).
cnf(c_161,plain,
( ~ p(X0)
| q(fz(X1))
| p(cx) ),
inference(backward_subsumption_resolution,[status(thm)],[c_96,c_150]) ).
cnf(c_163,plain,
( ~ p(fy(X0))
| ~ p(X0)
| q(fz(X1))
| q(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_112,c_150]) ).
cnf(c_166,plain,
( ~ p(X0)
| ~ q(X1)
| ~ q(cw)
| p(cx) ),
inference(backward_subsumption_resolution,[status(thm)],[c_64,c_150]) ).
cnf(c_170,plain,
( ~ p(X0)
| ~ q(cw)
| p(cx) ),
inference(global_subsumption_just,[status(thm)],[c_166,c_150,c_166]) ).
cnf(c_175,plain,
( p(fy5(X0))
| q(fz5(X1))
| p(X0)
| q(X1)
| p(cx) ),
inference(backward_subsumption_resolution,[status(thm)],[c_80,c_159]) ).
cnf(c_188,plain,
( ~ p(X0)
| ~ q(X1)
| p(cx) ),
inference(backward_subsumption_resolution,[status(thm)],[c_52,c_170]) ).
cnf(c_190,plain,
( ~ p(fy5(X0))
| ~ p(X0)
| ~ q(cw) ),
inference(backward_subsumption_resolution,[status(thm)],[c_153,c_170]) ).
cnf(c_196,plain,
( ~ q(fz(X0))
| ~ q(X0)
| p(X1)
| p(cx) ),
inference(backward_subsumption_resolution,[status(thm)],[c_110,c_188]) ).
cnf(c_198,plain,
( ~ p(X0)
| p(cx) ),
inference(backward_subsumption_resolution,[status(thm)],[c_161,c_188]) ).
cnf(c_207,plain,
( ~ q(fz(X0))
| ~ q(X0)
| p(cx) ),
inference(backward_subsumption_resolution,[status(thm)],[c_196,c_198]) ).
cnf(c_208,plain,
( q(fz5(X0))
| p(X1)
| q(X0)
| p(cx) ),
inference(backward_subsumption_resolution,[status(thm)],[c_175,c_198]) ).
cnf(c_224,plain,
( ~ p(fy5(X0))
| ~ p(X0)
| ~ q(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_102,c_190]) ).
cnf(c_235,plain,
( q(fz5(X0))
| q(X0)
| p(cx) ),
inference(forward_subsumption_resolution,[status(thm)],[c_208,c_198]) ).
cnf(c_236,plain,
( q(fz5(cw))
| p(cx)
| q(cw) ),
inference(instantiation,[status(thm)],[c_235]) ).
cnf(c_262,plain,
( ~ q(fz5(X0))
| ~ p(cx)
| p(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_100,c_144]) ).
cnf(c_283,plain,
( ~ p(X0)
| ~ q(X1)
| p(X2)
| q(cw) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62,c_61]) ).
cnf(c_294,plain,
( ~ q(X0)
| p(X1)
| q(cw) ),
inference(backward_subsumption_resolution,[status(thm)],[c_92,c_283]) ).
cnf(c_450,plain,
( p(X0)
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_294]) ).
cnf(c_451,plain,
( ~ q(X0)
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_294]) ).
cnf(c_452,plain,
( q(cw)
| sP0_iProver_def
| sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_294]) ).
cnf(c_453,plain,
( ~ q(fz5(X0))
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_262]) ).
cnf(c_454,plain,
( ~ p(cx)
| sP0_iProver_def
| sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_262]) ).
cnf(c_455,plain,
( ~ p(X0)
| ~ p(fy5(X0))
| ~ sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_224]) ).
cnf(c_456,plain,
( sP1_iProver_def
| sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_224]) ).
cnf(c_457,plain,
( q(X0)
| q(fz(X0))
| ~ sP4_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_def])],[c_163]) ).
cnf(c_458,plain,
( ~ p(X0)
| ~ p(fy(X0))
| ~ sP5_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_def])],[c_163]) ).
cnf(c_459,plain,
( sP4_iProver_def
| sP5_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_163]) ).
cnf(c_462,plain,
( q(fz(X0))
| ~ sP7_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_def])],[c_127]) ).
cnf(c_463,plain,
( ~ p(cx)
| sP0_iProver_def
| sP7_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_127]) ).
cnf(c_481,plain,
( ~ q(cw)
| ~ sP1_iProver_def ),
inference(instantiation,[status(thm)],[c_451]) ).
cnf(c_492,plain,
( ~ q(fz5(X0))
| ~ sP1_iProver_def ),
inference(instantiation,[status(thm)],[c_451]) ).
cnf(c_493,plain,
( ~ q(fz5(cw))
| ~ sP1_iProver_def ),
inference(instantiation,[status(thm)],[c_492]) ).
cnf(c_496,plain,
( ~ q(cw)
| q(fz(X0)) ),
inference(instantiation,[status(thm)],[c_159]) ).
cnf(c_503,plain,
( ~ p(fy(cx))
| ~ p(cx)
| ~ sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_458]) ).
cnf(c_505,plain,
( ~ q(cw)
| q(fz5(X0)) ),
inference(instantiation,[status(thm)],[c_159]) ).
cnf(c_519,plain,
( ~ q(fz(X0))
| ~ sP1_iProver_def ),
inference(instantiation,[status(thm)],[c_451]) ).
cnf(c_538,plain,
( ~ sP0_iProver_def
| p(fy(cx)) ),
inference(instantiation,[status(thm)],[c_450]) ).
cnf(c_539,plain,
( ~ sP0_iProver_def
| p(fy5(X0)) ),
inference(instantiation,[status(thm)],[c_450]) ).
cnf(c_551,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_539,c_538,c_519,c_505,c_503,c_496,c_493,c_492,c_455,c_457,c_453,c_463,c_462,c_454,c_481,c_451,c_452,c_450,c_459,c_456,c_236,c_235,c_207,c_159]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN036-4 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n031.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % 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 May 2 21:30:16 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.87/1.18 % SZS status Started for theBenchmark.p
% 1.87/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 1.87/1.18
% 1.87/1.18 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.87/1.18
% 1.87/1.18 ------ iProver source info
% 1.87/1.18
% 1.87/1.18 git: date: 2024-05-02 19:28:25 +0000
% 1.87/1.18 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.87/1.18 git: non_committed_changes: false
% 1.87/1.18
% 1.87/1.18 ------ Parsing...successful
% 1.87/1.18
% 1.87/1.18
% 1.87/1.18
% 1.87/1.18 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 1.87/1.18
% 1.87/1.18 ------ Preprocessing... gs_s sp: 25 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.87/1.18 ------ Proving...
% 1.87/1.18 ------ Problem Properties
% 1.87/1.18
% 1.87/1.18
% 1.87/1.18 clauses 25
% 1.87/1.18 conjectures 6
% 1.87/1.18 EPR 15
% 1.87/1.18 Horn 13
% 1.87/1.18 unary 0
% 1.87/1.18 binary 10
% 1.87/1.18 lits 69
% 1.87/1.18 lits eq 0
% 1.87/1.18 fd_pure 0
% 1.87/1.18 fd_pseudo 0
% 1.87/1.18 fd_cond 0
% 1.87/1.18 fd_pseudo_cond 0
% 1.87/1.18 AC symbols 0
% 1.87/1.18
% 1.87/1.18 ------ Schedule dynamic 5 is on
% 1.87/1.18
% 1.87/1.18 ------ no equalities: superposition off
% 1.87/1.18
% 1.87/1.18 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.87/1.18
% 1.87/1.18
% 1.87/1.18 ------
% 1.87/1.18 Current options:
% 1.87/1.18 ------
% 1.87/1.18
% 1.87/1.18
% 1.87/1.18
% 1.87/1.18
% 1.87/1.18 ------ Proving...
% 1.87/1.18
% 1.87/1.18
% 1.87/1.18 % SZS status Unsatisfiable for theBenchmark.p
% 1.87/1.18
% 1.87/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.87/1.18
% 1.87/1.18
%------------------------------------------------------------------------------