TSTP Solution File: PUZ039-1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : PUZ039-1 : TPTP v8.1.2. Bugfixed v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.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 02:54:42 EDT 2024
% Result : Unsatisfiable 3.55s 1.02s
% Output : CNFRefutation 3.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 24 ( 5 unt; 0 nHn; 24 RR)
% Number of literals : 43 ( 0 equ; 22 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-12 aty)
% Number of functors : 14 ( 14 usr; 1 con; 0-2 aty)
% Number of variables : 168 ( 22 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state) ).
cnf(c_50,negated_conjecture,
~ state(X0,X1,X2,X3,v4(s(s(o)),s(s(o))),X4,X5,X6,X7,X8,X9,X10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_state) ).
cnf(c_57,plain,
( ~ state(X0,X1,X2,X3,X4,X5,X6,s2(X7,X8),X9,X10,e1(s(X7),X8),X11)
| state(X0,X1,X2,X3,X4,X5,X6,s2(s(X7),X8),X9,X10,e1(X7,X8),X11) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ004-0.ax',s2_down) ).
cnf(c_63,plain,
( ~ state(X0,X1,X2,X3,X4,X5,X6,X7,X8,s4(X9,X10),e1(X9,s(X10)),X11)
| state(X0,X1,X2,X3,X4,X5,X6,X7,X8,s4(X9,s(X10)),e1(X9,X10),X11) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ004-0.ax',s4_right) ).
cnf(c_77,plain,
( ~ state(X0,X1,X2,v3(X3,X4),X5,X6,X7,X8,X9,X10,e1(s(s(X3)),X4),X11)
| state(X0,X1,X2,v3(s(X3),X4),X5,X6,X7,X8,X9,X10,e1(X3,X4),X11) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ004-0.ax',v3_down) ).
cnf(c_80,plain,
( ~ state(X0,X1,X2,X3,v4(X4,s(X5)),X6,X7,X8,X9,X10,e1(X4,X5),e2(s(X4),X5))
| state(X0,X1,X2,X3,v4(X4,X5),X6,X7,X8,X9,X10,e1(X4,s(X5)),e2(s(X4),s(X5))) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ004-0.ax',v4_left) ).
cnf(c_84,plain,
( ~ state(X0,X1,X2,X3,X4,h(X5,s(X6)),X7,X8,X9,X10,e1(X5,X6),X11)
| state(X0,X1,X2,X3,X4,h(X5,X6),X7,X8,X9,X10,e1(X5,s(s(X6))),X11) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ004-0.ax',h_left) ).
cnf(c_91,plain,
( ~ state(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,e1(X10,X11),e2(X12,X13))
| state(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,e1(X12,X13),e2(X10,X11)) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ004-0.ax',swap_blanks) ).
cnf(c_509,plain,
( ~ state(X0_13,X0_14,X0_15,X0_16,X0_17,X0_18,X0_19,X0_20,X0_21,X0_22,e1(X0_25,X1_25),e2(X2_25,X3_25))
| state(X0_13,X0_14,X0_15,X0_16,X0_17,X0_18,X0_19,X0_20,X0_21,X0_22,e1(X2_25,X3_25),e2(X0_25,X1_25)) ),
inference(subtyping,[status(esa)],[c_91]) ).
cnf(c_516,plain,
( ~ state(X0_13,X0_14,X0_15,X0_16,X0_17,h(X0_25,s(X1_25)),X0_19,X0_20,X0_21,X0_22,e1(X0_25,X1_25),X0_24)
| state(X0_13,X0_14,X0_15,X0_16,X0_17,h(X0_25,X1_25),X0_19,X0_20,X0_21,X0_22,e1(X0_25,s(s(X1_25))),X0_24) ),
inference(subtyping,[status(esa)],[c_84]) ).
cnf(c_520,plain,
( ~ state(X0_13,X0_14,X0_15,X0_16,v4(X0_25,s(X1_25)),X0_18,X0_19,X0_20,X0_21,X0_22,e1(X0_25,X1_25),e2(s(X0_25),X1_25))
| state(X0_13,X0_14,X0_15,X0_16,v4(X0_25,X1_25),X0_18,X0_19,X0_20,X0_21,X0_22,e1(X0_25,s(X1_25)),e2(s(X0_25),s(X1_25))) ),
inference(subtyping,[status(esa)],[c_80]) ).
cnf(c_523,plain,
( ~ state(X0_13,X0_14,X0_15,v3(X0_25,X1_25),X0_17,X0_18,X0_19,X0_20,X0_21,X0_22,e1(s(s(X0_25)),X1_25),X0_24)
| state(X0_13,X0_14,X0_15,v3(s(X0_25),X1_25),X0_17,X0_18,X0_19,X0_20,X0_21,X0_22,e1(X0_25,X1_25),X0_24) ),
inference(subtyping,[status(esa)],[c_77]) ).
cnf(c_537,plain,
( ~ state(X0_13,X0_14,X0_15,X0_16,X0_17,X0_18,X0_19,X0_20,X0_21,s4(X0_25,X1_25),e1(X0_25,s(X1_25)),X0_24)
| state(X0_13,X0_14,X0_15,X0_16,X0_17,X0_18,X0_19,X0_20,X0_21,s4(X0_25,s(X1_25)),e1(X0_25,X1_25),X0_24) ),
inference(subtyping,[status(esa)],[c_63]) ).
cnf(c_543,plain,
( ~ state(X0_13,X0_14,X0_15,X0_16,X0_17,X0_18,X0_19,s2(X0_25,X1_25),X0_21,X0_22,e1(s(X0_25),X1_25),X0_24)
| state(X0_13,X0_14,X0_15,X0_16,X0_17,X0_18,X0_19,s2(s(X0_25),X1_25),X0_21,X0_22,e1(X0_25,X1_25),X0_24) ),
inference(subtyping,[status(esa)],[c_57]) ).
cnf(c_550,negated_conjecture,
~ state(X0_13,X0_14,X0_15,X0_16,v4(s(s(o)),s(s(o))),X0_18,X0_19,X0_20,X0_21,X0_22,X0_23,X0_24),
inference(subtyping,[status(esa)],[c_50]) ).
cnf(c_599,plain,
( ~ state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o)))))
| state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),o)) ),
inference(instantiation,[status(thm)],[c_509]) ).
cnf(c_631,plain,
( ~ state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(s(o)))),o))
| state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o)) ),
inference(instantiation,[status(thm)],[c_537]) ).
cnf(c_677,plain,
( ~ state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(s(o)))),o))
| state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),o)) ),
inference(instantiation,[status(thm)],[c_543]) ).
cnf(c_901,plain,
( ~ state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(s(o)))),o))
| state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(s(o)))) ),
inference(instantiation,[status(thm)],[c_509]) ).
cnf(c_1617,plain,
( ~ state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),s(s(o))))
| state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(s(o)))) ),
inference(instantiation,[status(thm)],[c_523]) ).
cnf(c_2643,plain,
( ~ state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(s(o))))
| state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(s(o)))) ),
inference(instantiation,[status(thm)],[c_516]) ).
cnf(c_4046,plain,
( ~ state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(s(o))))
| state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(o))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(s(s(o))))) ),
inference(instantiation,[status(thm)],[c_520]) ).
cnf(c_5619,plain,
~ state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(o))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(s(s(o))))),
inference(instantiation,[status(thm)],[c_550]) ).
cnf(c_5620,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_5619,c_4046,c_2643,c_1617,c_901,c_677,c_631,c_599,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : PUZ039-1 : TPTP v8.1.2. Bugfixed v2.6.0.
% 0.03/0.10 % Command : run_iprover %s %d THM
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Thu May 2 21:13:23 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.15/0.39 Running first-order theorem proving
% 0.15/0.39 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
% 3.55/1.02 % SZS status Started for theBenchmark.p
% 3.55/1.02 % SZS status Unsatisfiable for theBenchmark.p
% 3.55/1.02
% 3.55/1.02 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.55/1.02
% 3.55/1.02 ------ iProver source info
% 3.55/1.02
% 3.55/1.02 git: date: 2024-05-02 19:28:25 +0000
% 3.55/1.02 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.55/1.02 git: non_committed_changes: false
% 3.55/1.02
% 3.55/1.02 ------ Parsing...successful
% 3.55/1.02
% 3.55/1.02
% 3.55/1.02
% 3.55/1.02 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 3.55/1.02
% 3.55/1.02 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.55/1.02 ------ Proving...
% 3.55/1.02 ------ Problem Properties
% 3.55/1.02
% 3.55/1.02
% 3.55/1.02 clauses 43
% 3.55/1.02 conjectures 1
% 3.55/1.02 EPR 0
% 3.55/1.02 Horn 43
% 3.55/1.02 unary 2
% 3.55/1.02 binary 41
% 3.55/1.02 lits 84
% 3.55/1.02 lits eq 0
% 3.55/1.02 fd_pure 0
% 3.55/1.02 fd_pseudo 0
% 3.55/1.02 fd_cond 0
% 3.55/1.02 fd_pseudo_cond 0
% 3.55/1.02 AC symbols 0
% 3.55/1.02
% 3.55/1.02 ------ Input Options Time Limit: Unbounded
% 3.55/1.02
% 3.55/1.02
% 3.55/1.02 ------
% 3.55/1.02 Current options:
% 3.55/1.02 ------
% 3.55/1.02
% 3.55/1.02
% 3.55/1.02
% 3.55/1.02
% 3.55/1.02 ------ Proving...
% 3.55/1.02
% 3.55/1.02
% 3.55/1.02 % SZS status Unsatisfiable for theBenchmark.p
% 3.55/1.02
% 3.55/1.02 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.55/1.02
% 3.55/1.03
%------------------------------------------------------------------------------