TSTP Solution File: SYO617-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SYO617-1 : TPTP v8.1.2. Released v7.1.0.
% 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 Sep 1 04:40:23 EDT 2023
% Result : Unsatisfiable 6.85s 1.59s
% Output : CNFRefutation 6.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of clauses : 66 ( 21 unt; 9 nHn; 35 RR)
% Number of literals : 128 ( 0 equ; 77 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 162 ( 85 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
le(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).
cnf(c_50,plain,
( ~ le(max(X0,X1),X2)
| le(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
cnf(c_51,plain,
( ~ le(max(X0,X1),X2)
| le(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).
cnf(c_52,plain,
( eq(f(X0),a0)
| eq(f(X0),a1)
| eq(f(X0),a2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).
cnf(c_53,plain,
( ~ le(s(X0),X1)
| ~ eq(f(X0),a0)
| ~ eq(f(X1),a0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05) ).
cnf(c_54,plain,
( ~ le(s(X0),X1)
| ~ eq(f(X0),a1)
| ~ eq(f(X1),a1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_06) ).
cnf(c_55,plain,
( ~ le(s(X0),X1)
| ~ eq(f(X0),a2)
| ~ eq(f(X1),a2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
cnf(c_95,plain,
( ~ le(s(X0_13),X1_13)
| ~ eq(f(X0_13),a2)
| ~ eq(f(X1_13),a2) ),
inference(subtyping,[status(esa)],[c_55]) ).
cnf(c_96,plain,
( ~ le(s(X0_13),X1_13)
| ~ eq(f(X0_13),a1)
| ~ eq(f(X1_13),a1) ),
inference(subtyping,[status(esa)],[c_54]) ).
cnf(c_97,plain,
( ~ le(s(X0_13),X1_13)
| ~ eq(f(X0_13),a0)
| ~ eq(f(X1_13),a0) ),
inference(subtyping,[status(esa)],[c_53]) ).
cnf(c_98,plain,
( eq(f(X0_13),a0)
| eq(f(X0_13),a1)
| eq(f(X0_13),a2) ),
inference(subtyping,[status(esa)],[c_52]) ).
cnf(c_99,plain,
( ~ le(max(X0_13,X1_13),X2_13)
| le(X1_13,X2_13) ),
inference(subtyping,[status(esa)],[c_51]) ).
cnf(c_100,plain,
( ~ le(max(X0_13,X1_13),X2_13)
| le(X0_13,X2_13) ),
inference(subtyping,[status(esa)],[c_50]) ).
cnf(c_101,plain,
le(X0_13,X0_13),
inference(subtyping,[status(esa)],[c_49]) ).
cnf(c_107,plain,
le(X0_13,max(X0_13,X1_13)),
inference(superposition,[status(thm)],[c_101,c_100]) ).
cnf(c_108,plain,
le(X0_13,max(X1_13,X0_13)),
inference(superposition,[status(thm)],[c_101,c_99]) ).
cnf(c_129,plain,
( ~ eq(f(s(X0_13)),a0)
| ~ eq(f(X0_13),a0) ),
inference(superposition,[status(thm)],[c_101,c_97]) ).
cnf(c_145,plain,
le(X0_13,max(max(X0_13,X1_13),X2_13)),
inference(superposition,[status(thm)],[c_107,c_100]) ).
cnf(c_146,plain,
le(X0_13,max(max(X1_13,X0_13),X2_13)),
inference(superposition,[status(thm)],[c_107,c_99]) ).
cnf(c_172,plain,
( ~ eq(f(max(X0_13,s(X1_13))),a0)
| ~ eq(f(X1_13),a0) ),
inference(superposition,[status(thm)],[c_108,c_97]) ).
cnf(c_175,plain,
le(X0_13,max(X1_13,max(X0_13,X2_13))),
inference(superposition,[status(thm)],[c_108,c_100]) ).
cnf(c_209,plain,
( ~ eq(f(X0_13),a0)
| eq(f(s(X0_13)),a1)
| eq(f(s(X0_13)),a2) ),
inference(superposition,[status(thm)],[c_98,c_129]) ).
cnf(c_232,plain,
le(X0_13,max(X0_13,X1_13)),
inference(superposition,[status(thm)],[c_101,c_100]) ).
cnf(c_233,plain,
le(X0_13,max(X1_13,X0_13)),
inference(superposition,[status(thm)],[c_101,c_99]) ).
cnf(c_234,plain,
( ~ eq(f(max(max(s(X0_13),X1_13),X2_13)),a0)
| ~ eq(f(X0_13),a0) ),
inference(superposition,[status(thm)],[c_145,c_97]) ).
cnf(c_235,plain,
( ~ eq(f(max(max(s(X0_13),X1_13),X2_13)),a1)
| ~ eq(f(X0_13),a1) ),
inference(superposition,[status(thm)],[c_145,c_96]) ).
cnf(c_261,plain,
( ~ eq(f(s(X0_13)),a2)
| ~ eq(f(X0_13),a2) ),
inference(superposition,[status(thm)],[c_101,c_95]) ).
cnf(c_282,plain,
( ~ eq(f(max(max(X0_13,s(X1_13)),X2_13)),a0)
| ~ eq(f(X1_13),a0) ),
inference(superposition,[status(thm)],[c_146,c_97]) ).
cnf(c_284,plain,
( ~ eq(f(max(max(X0_13,s(X1_13)),X2_13)),a2)
| ~ eq(f(X1_13),a2) ),
inference(superposition,[status(thm)],[c_146,c_95]) ).
cnf(c_336,plain,
( ~ eq(f(X0_13),a0)
| eq(f(max(X1_13,s(X0_13))),a1)
| eq(f(max(X1_13,s(X0_13))),a2) ),
inference(superposition,[status(thm)],[c_98,c_172]) ).
cnf(c_352,plain,
le(X0_13,max(X1_13,max(max(X0_13,X2_13),X3_13))),
inference(superposition,[status(thm)],[c_175,c_100]) ).
cnf(c_381,plain,
le(X0_13,max(max(X0_13,X1_13),X2_13)),
inference(superposition,[status(thm)],[c_232,c_100]) ).
cnf(c_382,plain,
le(X0_13,max(max(X1_13,X0_13),X2_13)),
inference(superposition,[status(thm)],[c_232,c_99]) ).
cnf(c_455,plain,
( ~ eq(f(X0_13),a0)
| eq(f(max(max(s(X0_13),X1_13),X2_13)),a1)
| eq(f(max(max(s(X0_13),X1_13),X2_13)),a2) ),
inference(superposition,[status(thm)],[c_98,c_234]) ).
cnf(c_496,plain,
( ~ eq(f(max(X0_13,s(X1_13))),a2)
| ~ eq(f(X1_13),a2) ),
inference(superposition,[status(thm)],[c_233,c_95]) ).
cnf(c_497,plain,
le(X0_13,max(X1_13,max(X0_13,X2_13))),
inference(superposition,[status(thm)],[c_233,c_100]) ).
cnf(c_644,plain,
( ~ eq(f(max(X0_13,max(max(s(X1_13),X2_13),X3_13))),a1)
| ~ eq(f(X1_13),a1) ),
inference(superposition,[status(thm)],[c_352,c_96]) ).
cnf(c_693,plain,
le(X0_13,max(max(max(X0_13,X1_13),X2_13),X3_13)),
inference(superposition,[status(thm)],[c_381,c_100]) ).
cnf(c_718,plain,
( ~ eq(f(X0_13),a0)
| eq(f(max(max(X1_13,s(X0_13)),X2_13)),a1)
| eq(f(max(max(X1_13,s(X0_13)),X2_13)),a2) ),
inference(superposition,[status(thm)],[c_98,c_282]) ).
cnf(c_750,plain,
( ~ eq(f(X0_13),a0)
| ~ eq(f(X1_13),a1)
| eq(f(max(max(s(X1_13),X2_13),s(X0_13))),a2) ),
inference(superposition,[status(thm)],[c_336,c_235]) ).
cnf(c_854,plain,
( ~ eq(f(max(max(X0_13,s(X1_13)),X2_13)),a0)
| ~ eq(f(X1_13),a0) ),
inference(superposition,[status(thm)],[c_382,c_97]) ).
cnf(c_1124,plain,
( ~ eq(f(max(X0_13,max(s(X1_13),X2_13))),a2)
| ~ eq(f(X1_13),a2) ),
inference(superposition,[status(thm)],[c_497,c_95]) ).
cnf(c_1566,plain,
le(X0_13,max(max(max(max(X0_13,X1_13),X2_13),X3_13),X4_13)),
inference(superposition,[status(thm)],[c_693,c_100]) ).
cnf(c_1597,plain,
( ~ eq(f(X0_13),a0)
| ~ eq(f(X1_13),a1)
| eq(f(max(max(s(X0_13),X2_13),max(max(s(X1_13),X3_13),X4_13))),a2) ),
inference(superposition,[status(thm)],[c_455,c_644]) ).
cnf(c_1777,plain,
( ~ eq(f(X0_13),a0)
| ~ eq(f(X1_13),a1)
| ~ eq(f(X2_13),a2) ),
inference(superposition,[status(thm)],[c_750,c_284]) ).
cnf(c_1786,plain,
( ~ eq(f(X0_13),a0)
| ~ eq(f(X1_13),a1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1597,c_1777]) ).
cnf(c_1821,plain,
( ~ eq(f(X0_13),a0)
| eq(f(max(max(X1_13,s(X0_13)),X2_13)),a2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_718,c_1786]) ).
cnf(c_1824,plain,
( ~ eq(f(X0_13),a0)
| eq(f(s(X0_13)),a2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_209,c_1786]) ).
cnf(c_2009,plain,
le(X0_13,max(X0_13,X1_13)),
inference(superposition,[status(thm)],[c_101,c_100]) ).
cnf(c_2017,plain,
( ~ eq(f(s(X0_13)),a0)
| ~ eq(f(X0_13),a0) ),
inference(superposition,[status(thm)],[c_101,c_97]) ).
cnf(c_2022,plain,
( ~ eq(f(X0_13),a0)
| eq(f(max(max(X1_13,s(X0_13)),X2_13)),a1)
| eq(f(max(max(X1_13,s(X0_13)),X2_13)),a2) ),
inference(superposition,[status(thm)],[c_98,c_854]) ).
cnf(c_2023,plain,
( ~ eq(f(X0_13),a0)
| eq(f(max(max(X1_13,s(X0_13)),X2_13)),a2) ),
inference(global_subsumption_just,[status(thm)],[c_2022,c_1821]) ).
cnf(c_3413,plain,
le(X0_13,max(max(max(max(max(X0_13,X1_13),X2_13),X3_13),X4_13),X5_13)),
inference(superposition,[status(thm)],[c_1566,c_100]) ).
cnf(c_3803,plain,
( ~ eq(f(max(s(X0_13),X1_13)),a1)
| ~ eq(f(X0_13),a1) ),
inference(superposition,[status(thm)],[c_2009,c_96]) ).
cnf(c_3956,plain,
( ~ eq(f(X0_13),a0)
| eq(f(s(X0_13)),a1)
| eq(f(s(X0_13)),a2) ),
inference(superposition,[status(thm)],[c_98,c_2017]) ).
cnf(c_3957,plain,
( ~ eq(f(X0_13),a0)
| eq(f(s(X0_13)),a2) ),
inference(global_subsumption_just,[status(thm)],[c_3956,c_1824]) ).
cnf(c_3966,plain,
( ~ eq(f(X0_13),a0)
| ~ eq(f(X1_13),a2) ),
inference(superposition,[status(thm)],[c_2023,c_1124]) ).
cnf(c_3975,plain,
~ eq(f(X0_13),a0),
inference(backward_subsumption_resolution,[status(thm)],[c_3957,c_3966]) ).
cnf(c_3984,plain,
( eq(f(X0_13),a1)
| eq(f(X0_13),a2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_98,c_3975]) ).
cnf(c_4406,plain,
( ~ eq(f(max(max(max(max(max(s(X0_13),X1_13),X2_13),X3_13),X4_13),X5_13)),a1)
| ~ eq(f(X0_13),a1) ),
inference(superposition,[status(thm)],[c_3413,c_96]) ).
cnf(c_4986,plain,
( ~ eq(f(X0_13),a1)
| eq(f(max(s(X0_13),X1_13)),a2) ),
inference(superposition,[status(thm)],[c_3984,c_3803]) ).
cnf(c_7633,plain,
( ~ eq(f(X0_13),a1)
| eq(f(max(max(max(max(max(s(X0_13),X1_13),X2_13),X3_13),X4_13),X5_13)),a2) ),
inference(superposition,[status(thm)],[c_3984,c_4406]) ).
cnf(c_9494,plain,
( ~ eq(f(X0_13),a1)
| ~ eq(f(X1_13),a2) ),
inference(superposition,[status(thm)],[c_4986,c_496]) ).
cnf(c_9513,plain,
~ eq(f(X0_13),a1),
inference(backward_subsumption_resolution,[status(thm)],[c_7633,c_9494]) ).
cnf(c_9553,plain,
eq(f(X0_13),a2),
inference(backward_subsumption_resolution,[status(thm)],[c_3984,c_9513]) ).
cnf(c_9555,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_261,c_9553]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYO617-1 : TPTP v8.1.2. Released v7.1.0.
% 0.00/0.09 % Command : run_iprover %s %d THM
% 0.11/0.29 % Computer : n019.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Sat Aug 26 08:12:13 EDT 2023
% 0.11/0.29 % CPUTime :
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 6.85/1.59 % SZS status Started for theBenchmark.p
% 6.85/1.59 % SZS status Unsatisfiable for theBenchmark.p
% 6.85/1.59
% 6.85/1.59 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 6.85/1.59
% 6.85/1.59 ------ iProver source info
% 6.85/1.59
% 6.85/1.59 git: date: 2023-05-31 18:12:56 +0000
% 6.85/1.59 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 6.85/1.59 git: non_committed_changes: false
% 6.85/1.59 git: last_make_outside_of_git: false
% 6.85/1.59
% 6.85/1.59 ------ Parsing...successful
% 6.85/1.59
% 6.85/1.59
% 6.85/1.59
% 6.85/1.59 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 6.85/1.59
% 6.85/1.59 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 6.85/1.59 ------ Proving...
% 6.85/1.59 ------ Problem Properties
% 6.85/1.59
% 6.85/1.59
% 6.85/1.59 clauses 7
% 6.85/1.59 conjectures 0
% 6.85/1.59 EPR 1
% 6.85/1.59 Horn 6
% 6.85/1.59 unary 1
% 6.85/1.59 binary 2
% 6.85/1.59 lits 17
% 6.85/1.59 lits eq 0
% 6.85/1.59 fd_pure 0
% 6.85/1.59 fd_pseudo 0
% 6.85/1.59 fd_cond 0
% 6.85/1.59 fd_pseudo_cond 0
% 6.85/1.59 AC symbols 0
% 6.85/1.59
% 6.85/1.59 ------ Input Options Time Limit: Unbounded
% 6.85/1.59
% 6.85/1.59
% 6.85/1.59 ------
% 6.85/1.59 Current options:
% 6.85/1.59 ------
% 6.85/1.59
% 6.85/1.59
% 6.85/1.59
% 6.85/1.59
% 6.85/1.59 ------ Proving...
% 6.85/1.59
% 6.85/1.59
% 6.85/1.59 % SZS status Unsatisfiable for theBenchmark.p
% 6.85/1.59
% 6.85/1.59 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.85/1.59
% 6.85/1.60
%------------------------------------------------------------------------------