TSTP Solution File: SYO691-1.001 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SYO691-1.001 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.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 03:38:49 EDT 2024
% Result : Unsatisfiable 46.66s 7.24s
% Output : CNFRefutation 46.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of clauses : 30 ( 9 unt; 0 nHn; 19 RR)
% Number of literals : 66 ( 0 equ; 41 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 106 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
top(f(f(f(X0,a),X1),f(X2,a)),f(f(X2,f(f(X1,a),a)),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).
cnf(c_50,negated_conjecture,
~ seq(succ(succ(succ(succ(succ(zero))))),X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove) ).
cnf(c_51,plain,
( ~ top(X0,X1)
| step(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rewrite_top) ).
cnf(c_52,plain,
( ~ step(X0,X1)
| step(f(X0,X2),f(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rewrite_left) ).
cnf(c_53,plain,
( ~ step(X0,X1)
| step(f(X2,X0),f(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rewrite_right) ).
cnf(c_54,plain,
seq(zero,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rewrite_sequence_zero) ).
cnf(c_55,plain,
( ~ seq(X0,X1,X2)
| ~ step(X2,X3)
| seq(succ(X0),X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rewrite_sequence_succ) ).
cnf(c_86,plain,
step(f(f(f(X0,a),X1),f(X2,a)),f(f(X2,f(f(X1,a),a)),X0)),
inference(resolution,[status(thm)],[c_49,c_51]) ).
cnf(c_112,plain,
step(f(f(f(X0_13,a),X1_13),f(X2_13,a)),f(f(X2_13,f(f(X1_13,a),a)),X0_13)),
inference(subtyping,[status(esa)],[c_86]) ).
cnf(c_113,plain,
( ~ seq(X0_14,X0_13,X1_13)
| ~ step(X1_13,X2_13)
| seq(succ(X0_14),X0_13,X2_13) ),
inference(subtyping,[status(esa)],[c_55]) ).
cnf(c_114,plain,
seq(zero,X0_13,X0_13),
inference(subtyping,[status(esa)],[c_54]) ).
cnf(c_115,plain,
( ~ step(X0_13,X1_13)
| step(f(X2_13,X0_13),f(X2_13,X1_13)) ),
inference(subtyping,[status(esa)],[c_53]) ).
cnf(c_116,plain,
( ~ step(X0_13,X1_13)
| step(f(X0_13,X2_13),f(X1_13,X2_13)) ),
inference(subtyping,[status(esa)],[c_52]) ).
cnf(c_117,negated_conjecture,
~ seq(succ(succ(succ(succ(succ(zero))))),X0_13,X0_13),
inference(subtyping,[status(esa)],[c_50]) ).
cnf(c_8241,plain,
( ~ step(X0_13,X1_13)
| seq(succ(zero),X0_13,X1_13) ),
inference(superposition,[status(thm)],[c_114,c_113]) ).
cnf(c_8244,plain,
( ~ step(X0_13,X1_13)
| ~ step(X1_13,X2_13)
| seq(succ(succ(zero)),X0_13,X2_13) ),
inference(superposition,[status(thm)],[c_8241,c_113]) ).
cnf(c_8248,plain,
( ~ step(X0_13,f(X1_13,X2_13))
| ~ step(X2_13,X3_13)
| seq(succ(succ(zero)),X0_13,f(X1_13,X3_13)) ),
inference(superposition,[status(thm)],[c_115,c_8244]) ).
cnf(c_8253,plain,
( ~ step(X0_13,X1_13)
| ~ step(X1_13,X2_13)
| seq(succ(succ(zero)),f(X3_13,X0_13),f(X3_13,X2_13)) ),
inference(superposition,[status(thm)],[c_115,c_8248]) ).
cnf(c_8266,plain,
( ~ step(X0_13,f(f(f(X1_13,a),X2_13),f(X3_13,a)))
| seq(succ(succ(zero)),f(X4_13,X0_13),f(X4_13,f(f(X3_13,f(f(X2_13,a),a)),X1_13))) ),
inference(superposition,[status(thm)],[c_112,c_8253]) ).
cnf(c_8294,plain,
( ~ step(f(X0_13,f(f(X1_13,f(f(X2_13,a),a)),X3_13)),X4_13)
| ~ step(X5_13,f(f(f(X3_13,a),X2_13),f(X1_13,a)))
| seq(succ(succ(succ(zero))),f(X0_13,X5_13),X4_13) ),
inference(superposition,[status(thm)],[c_8266,c_113]) ).
cnf(c_8379,plain,
( ~ step(X0_13,f(f(f(X1_13,a),X2_13),f(X3_13,a)))
| ~ step(X4_13,X5_13)
| seq(succ(succ(succ(zero))),f(X4_13,X0_13),f(X5_13,f(f(X3_13,f(f(X2_13,a),a)),X1_13))) ),
inference(superposition,[status(thm)],[c_116,c_8294]) ).
cnf(c_8548,plain,
( ~ step(f(X0_13,f(f(X1_13,f(f(X2_13,a),a)),X3_13)),X4_13)
| ~ step(X5_13,f(f(f(X3_13,a),X2_13),f(X1_13,a)))
| ~ step(X6_13,X0_13)
| seq(succ(succ(succ(succ(zero)))),f(X6_13,X5_13),X4_13) ),
inference(superposition,[status(thm)],[c_8379,c_113]) ).
cnf(c_8897,plain,
( ~ step(X0_13,f(f(f(a,a),X1_13),f(X2_13,a)))
| ~ step(X3_13,f(f(X4_13,a),X5_13))
| seq(succ(succ(succ(succ(zero)))),f(X3_13,X0_13),f(f(f(X2_13,f(f(X1_13,a),a)),f(f(X5_13,a),a)),X4_13)) ),
inference(superposition,[status(thm)],[c_112,c_8548]) ).
cnf(c_9686,plain,
( ~ step(f(f(f(X0_13,f(f(X1_13,a),a)),f(f(X2_13,a),a)),X3_13),X4_13)
| ~ step(X5_13,f(f(f(a,a),X1_13),f(X0_13,a)))
| ~ step(X6_13,f(f(X3_13,a),X2_13))
| seq(succ(succ(succ(succ(succ(zero))))),f(X6_13,X5_13),X4_13) ),
inference(superposition,[status(thm)],[c_8897,c_113]) ).
cnf(c_11397,plain,
( ~ step(f(f(X0_13,f(f(X1_13,a),a)),f(f(X2_13,a),a)),X3_13)
| ~ step(X4_13,f(f(f(a,a),X1_13),f(X0_13,a)))
| ~ step(X5_13,f(f(X6_13,a),X2_13))
| seq(succ(succ(succ(succ(succ(zero))))),f(X5_13,X4_13),f(X3_13,X6_13)) ),
inference(superposition,[status(thm)],[c_116,c_9686]) ).
cnf(c_16339,plain,
( ~ step(X0_13,f(f(f(a,a),X1_13),f(f(X2_13,a),a)))
| ~ step(X3_13,f(f(X4_13,a),X5_13))
| seq(succ(succ(succ(succ(succ(zero))))),f(X3_13,X0_13),f(f(f(f(X5_13,a),f(f(f(f(X1_13,a),a),a),a)),X2_13),X4_13)) ),
inference(superposition,[status(thm)],[c_112,c_11397]) ).
cnf(c_33670,plain,
( ~ step(f(f(f(X0_13,a),f(f(f(f(X1_13,a),a),a),a)),X2_13),f(f(X3_13,a),X0_13))
| ~ step(X3_13,f(f(f(a,a),X1_13),f(f(X2_13,a),a))) ),
inference(superposition,[status(thm)],[c_16339,c_117]) ).
cnf(c_33806,plain,
( ~ step(f(f(X0_13,a),f(f(f(f(X1_13,a),a),a),a)),f(X2_13,a))
| ~ step(X2_13,f(f(f(a,a),X1_13),f(f(X0_13,a),a))) ),
inference(superposition,[status(thm)],[c_116,c_33670]) ).
cnf(c_33809,plain,
~ step(f(f(f(f(X0_13,a),a),a),f(f(a,a),a)),f(f(f(a,a),X0_13),f(f(f(a,a),a),a))),
inference(superposition,[status(thm)],[c_112,c_33806]) ).
cnf(c_33811,plain,
$false,
inference(superposition,[status(thm)],[c_112,c_33809]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYO691-1.001 : TPTP v8.1.2. Released v7.3.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n028.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 20:32:18 EDT 2024
% 0.13/0.35 % 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
% 46.66/7.24 % SZS status Started for theBenchmark.p
% 46.66/7.24 % SZS status Unsatisfiable for theBenchmark.p
% 46.66/7.24
% 46.66/7.24 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 46.66/7.24
% 46.66/7.24 ------ iProver source info
% 46.66/7.24
% 46.66/7.24 git: date: 2024-05-02 19:28:25 +0000
% 46.66/7.24 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 46.66/7.24 git: non_committed_changes: false
% 46.66/7.24
% 46.66/7.24 ------ Parsing...successful
% 46.66/7.24
% 46.66/7.24
% 46.66/7.24
% 46.66/7.24 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 46.66/7.24
% 46.66/7.24 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 46.66/7.24 ------ Proving...
% 46.66/7.24 ------ Problem Properties
% 46.66/7.24
% 46.66/7.24
% 46.66/7.24 clauses 6
% 46.66/7.24 conjectures 1
% 46.66/7.24 EPR 1
% 46.66/7.24 Horn 6
% 46.66/7.24 unary 3
% 46.66/7.24 binary 2
% 46.66/7.24 lits 10
% 46.66/7.24 lits eq 0
% 46.66/7.24 fd_pure 0
% 46.66/7.24 fd_pseudo 0
% 46.66/7.24 fd_cond 0
% 46.66/7.24 fd_pseudo_cond 0
% 46.66/7.24 AC symbols 0
% 46.66/7.24
% 46.66/7.24 ------ Input Options Time Limit: Unbounded
% 46.66/7.24
% 46.66/7.24
% 46.66/7.24 ------
% 46.66/7.24 Current options:
% 46.66/7.24 ------
% 46.66/7.24
% 46.66/7.24
% 46.66/7.24
% 46.66/7.24
% 46.66/7.24 ------ Proving...
% 46.66/7.24
% 46.66/7.24
% 46.66/7.24 % SZS status Unsatisfiable for theBenchmark.p
% 46.66/7.24
% 46.66/7.24 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 46.66/7.24
% 46.66/7.24
%------------------------------------------------------------------------------