TSTP Solution File: SWC405+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWC405+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n008.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 03:12:22 EDT 2024
% Result : Theorem 3.61s 1.19s
% Output : CNFRefutation 3.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 14 unt; 0 def)
% Number of atoms : 215 ( 30 equ)
% Maximal formula atoms : 28 ( 7 avg)
% Number of connectives : 260 ( 74 ~; 55 |; 111 &)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 67 ( 0 sgn 27 !; 38 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ! [X5] :
( ssItem(X5)
=> ( memberP(X1,X5)
| ~ memberP(X0,X5) ) )
| ? [X4] :
( ( ( memberP(X3,X4)
& ~ memberP(X2,X4) )
| ( memberP(X2,X4)
& ~ memberP(X3,X4) ) )
& ssItem(X4) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ! [X5] :
( ssItem(X5)
=> ( memberP(X1,X5)
| ~ memberP(X0,X5) ) )
| ? [X4] :
( ( ( memberP(X3,X4)
& ~ memberP(X2,X4) )
| ( memberP(X2,X4)
& ~ memberP(X3,X4) ) )
& ssItem(X4) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ! [X4] :
( ssItem(X4)
=> ( memberP(X1,X4)
| ~ memberP(X0,X4) ) )
| ? [X5] :
( ( ( memberP(X3,X5)
& ~ memberP(X2,X5) )
| ( memberP(X2,X5)
& ~ memberP(X3,X5) ) )
& ssItem(X5) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ memberP(X1,X4)
& memberP(X0,X4)
& ssItem(X4) )
& ! [X5] :
( ( ( ~ memberP(X3,X5)
| memberP(X2,X5) )
& ( ~ memberP(X2,X5)
| memberP(X3,X5) ) )
| ~ ssItem(X5) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f223,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ memberP(X1,X4)
& memberP(X0,X4)
& ssItem(X4) )
& ! [X5] :
( ( ( ~ memberP(X3,X5)
| memberP(X2,X5) )
& ( ~ memberP(X2,X5)
| memberP(X3,X5) ) )
| ~ ssItem(X5) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f222]) ).
fof(f344,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ memberP(X1,X4)
& memberP(X0,X4)
& ssItem(X4) )
& ! [X5] :
( ( ( ~ memberP(X3,X5)
| memberP(X2,X5) )
& ( ~ memberP(X2,X5)
| memberP(X3,X5) ) )
| ~ ssItem(X5) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ memberP(X1,X4)
& memberP(sK53,X4)
& ssItem(X4) )
& ! [X5] :
( ( ( ~ memberP(X3,X5)
| memberP(X2,X5) )
& ( ~ memberP(X2,X5)
| memberP(X3,X5) ) )
| ~ ssItem(X5) )
& sK53 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK53) ) ),
introduced(choice_axiom,[]) ).
fof(f345,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ memberP(X1,X4)
& memberP(sK53,X4)
& ssItem(X4) )
& ! [X5] :
( ( ( ~ memberP(X3,X5)
| memberP(X2,X5) )
& ( ~ memberP(X2,X5)
| memberP(X3,X5) ) )
| ~ ssItem(X5) )
& sK53 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ memberP(sK54,X4)
& memberP(sK53,X4)
& ssItem(X4) )
& ! [X5] :
( ( ( ~ memberP(X3,X5)
| memberP(X2,X5) )
& ( ~ memberP(X2,X5)
| memberP(X3,X5) ) )
| ~ ssItem(X5) )
& sK53 = X2
& sK54 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK54) ) ),
introduced(choice_axiom,[]) ).
fof(f346,plain,
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ memberP(sK54,X4)
& memberP(sK53,X4)
& ssItem(X4) )
& ! [X5] :
( ( ( ~ memberP(X3,X5)
| memberP(X2,X5) )
& ( ~ memberP(X2,X5)
| memberP(X3,X5) ) )
| ~ ssItem(X5) )
& sK53 = X2
& sK54 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ? [X4] :
( ~ memberP(sK54,X4)
& memberP(sK53,X4)
& ssItem(X4) )
& ! [X5] :
( ( ( ~ memberP(X3,X5)
| memberP(sK55,X5) )
& ( ~ memberP(sK55,X5)
| memberP(X3,X5) ) )
| ~ ssItem(X5) )
& sK53 = sK55
& sK54 = X3
& ssList(X3) )
& ssList(sK55) ) ),
introduced(choice_axiom,[]) ).
fof(f347,plain,
( ? [X3] :
( ? [X4] :
( ~ memberP(sK54,X4)
& memberP(sK53,X4)
& ssItem(X4) )
& ! [X5] :
( ( ( ~ memberP(X3,X5)
| memberP(sK55,X5) )
& ( ~ memberP(sK55,X5)
| memberP(X3,X5) ) )
| ~ ssItem(X5) )
& sK53 = sK55
& sK54 = X3
& ssList(X3) )
=> ( ? [X4] :
( ~ memberP(sK54,X4)
& memberP(sK53,X4)
& ssItem(X4) )
& ! [X5] :
( ( ( ~ memberP(sK56,X5)
| memberP(sK55,X5) )
& ( ~ memberP(sK55,X5)
| memberP(sK56,X5) ) )
| ~ ssItem(X5) )
& sK53 = sK55
& sK54 = sK56
& ssList(sK56) ) ),
introduced(choice_axiom,[]) ).
fof(f348,plain,
( ? [X4] :
( ~ memberP(sK54,X4)
& memberP(sK53,X4)
& ssItem(X4) )
=> ( ~ memberP(sK54,sK57)
& memberP(sK53,sK57)
& ssItem(sK57) ) ),
introduced(choice_axiom,[]) ).
fof(f349,plain,
( ~ memberP(sK54,sK57)
& memberP(sK53,sK57)
& ssItem(sK57)
& ! [X5] :
( ( ( ~ memberP(sK56,X5)
| memberP(sK55,X5) )
& ( ~ memberP(sK55,X5)
| memberP(sK56,X5) ) )
| ~ ssItem(X5) )
& sK53 = sK55
& sK54 = sK56
& ssList(sK56)
& ssList(sK55)
& ssList(sK54)
& ssList(sK53) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57])],[f223,f348,f347,f346,f345,f344]) ).
fof(f553,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f349]) ).
fof(f554,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f349]) ).
fof(f555,plain,
! [X5] :
( ~ memberP(sK55,X5)
| memberP(sK56,X5)
| ~ ssItem(X5) ),
inference(cnf_transformation,[],[f349]) ).
fof(f557,plain,
ssItem(sK57),
inference(cnf_transformation,[],[f349]) ).
fof(f558,plain,
memberP(sK53,sK57),
inference(cnf_transformation,[],[f349]) ).
fof(f559,plain,
~ memberP(sK54,sK57),
inference(cnf_transformation,[],[f349]) ).
fof(f560,plain,
~ memberP(sK56,sK57),
inference(definition_unfolding,[],[f559,f553]) ).
fof(f561,plain,
memberP(sK55,sK57),
inference(definition_unfolding,[],[f558,f554]) ).
cnf(c_246,negated_conjecture,
~ memberP(sK56,sK57),
inference(cnf_transformation,[],[f560]) ).
cnf(c_247,negated_conjecture,
memberP(sK55,sK57),
inference(cnf_transformation,[],[f561]) ).
cnf(c_248,negated_conjecture,
ssItem(sK57),
inference(cnf_transformation,[],[f557]) ).
cnf(c_250,negated_conjecture,
( ~ memberP(sK55,X0)
| ~ ssItem(X0)
| memberP(sK56,X0) ),
inference(cnf_transformation,[],[f555]) ).
cnf(c_8832,negated_conjecture,
( ~ memberP(sK55,X0)
| ~ ssItem(X0)
| memberP(sK56,X0) ),
inference(demodulation,[status(thm)],[c_250]) ).
cnf(c_8834,negated_conjecture,
ssItem(sK57),
inference(demodulation,[status(thm)],[c_248]) ).
cnf(c_8835,negated_conjecture,
memberP(sK55,sK57),
inference(demodulation,[status(thm)],[c_247]) ).
cnf(c_8836,negated_conjecture,
~ memberP(sK56,sK57),
inference(demodulation,[status(thm)],[c_246]) ).
cnf(c_11659,plain,
( ~ ssItem(sK57)
| memberP(sK56,sK57) ),
inference(superposition,[status(thm)],[c_8835,c_8832]) ).
cnf(c_11660,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_11659,c_8836,c_8834]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15 % Problem : SWC405+1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.16 % Command : run_iprover %s %d THM
% 0.16/0.38 % Computer : n008.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Thu May 2 23:30:57 EDT 2024
% 0.16/0.38 % CPUTime :
% 0.23/0.53 Running first-order theorem proving
% 0.23/0.53 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
% 3.61/1.19 % SZS status Started for theBenchmark.p
% 3.61/1.19 % SZS status Theorem for theBenchmark.p
% 3.61/1.19
% 3.61/1.19 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.61/1.19
% 3.61/1.19 ------ iProver source info
% 3.61/1.19
% 3.61/1.19 git: date: 2024-05-02 19:28:25 +0000
% 3.61/1.19 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.61/1.19 git: non_committed_changes: false
% 3.61/1.19
% 3.61/1.19 ------ Parsing...
% 3.61/1.19 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.61/1.19
% 3.61/1.19 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e
% 3.61/1.19
% 3.61/1.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.61/1.19
% 3.61/1.19 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.61/1.19 ------ Proving...
% 3.61/1.19 ------ Problem Properties
% 3.61/1.19
% 3.61/1.19
% 3.61/1.19 clauses 187
% 3.61/1.19 conjectures 7
% 3.61/1.19 EPR 56
% 3.61/1.19 Horn 119
% 3.61/1.19 unary 21
% 3.61/1.19 binary 40
% 3.61/1.19 lits 629
% 3.61/1.19 lits eq 78
% 3.61/1.19 fd_pure 0
% 3.61/1.19 fd_pseudo 0
% 3.61/1.19 fd_cond 21
% 3.61/1.19 fd_pseudo_cond 14
% 3.61/1.19 AC symbols 0
% 3.61/1.19
% 3.61/1.19 ------ Schedule dynamic 5 is on
% 3.61/1.19
% 3.61/1.19 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.61/1.19
% 3.61/1.19
% 3.61/1.19 ------
% 3.61/1.19 Current options:
% 3.61/1.19 ------
% 3.61/1.19
% 3.61/1.19
% 3.61/1.19
% 3.61/1.19
% 3.61/1.19 ------ Proving...
% 3.61/1.19
% 3.61/1.19
% 3.61/1.19 % SZS status Theorem for theBenchmark.p
% 3.61/1.19
% 3.61/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.61/1.19
% 3.61/1.19
%------------------------------------------------------------------------------