TSTP Solution File: SYN333+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SYN333+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n003.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 03:30:09 EDT 2024
% Result : Theorem 0.46s 1.17s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 20 ( 5 unt; 0 def)
% Number of atoms : 81 ( 0 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 104 ( 43 ~; 33 |; 23 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 43 ( 6 sgn 18 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X0,X1] :
! [X2] :
( big_f(X0,X1)
=> ( ( ( big_g(X0,X1)
& big_f(X0,X1) )
=> ( big_g(X2,X2)
& big_g(X0,X2) ) )
& big_f(X2,X2)
& big_f(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_14_5) ).
fof(f2,negated_conjecture,
~ ? [X0,X1] :
! [X2] :
( big_f(X0,X1)
=> ( ( ( big_g(X0,X1)
& big_f(X0,X1) )
=> ( big_g(X2,X2)
& big_g(X0,X2) ) )
& big_f(X2,X2)
& big_f(X1,X2) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f3,plain,
! [X0,X1] :
? [X2] :
( ( ( ( ~ big_g(X2,X2)
| ~ big_g(X0,X2) )
& big_g(X0,X1)
& big_f(X0,X1) )
| ~ big_f(X2,X2)
| ~ big_f(X1,X2) )
& big_f(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
! [X0,X1] :
? [X2] :
( ( ( ( ~ big_g(X2,X2)
| ~ big_g(X0,X2) )
& big_g(X0,X1)
& big_f(X0,X1) )
| ~ big_f(X2,X2)
| ~ big_f(X1,X2) )
& big_f(X0,X1) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
! [X0,X1] :
( ? [X2] :
( ( ( ( ~ big_g(X2,X2)
| ~ big_g(X0,X2) )
& big_g(X0,X1)
& big_f(X0,X1) )
| ~ big_f(X2,X2)
| ~ big_f(X1,X2) )
& big_f(X0,X1) )
=> ( ( ( ( ~ big_g(sK0(X0,X1),sK0(X0,X1))
| ~ big_g(X0,sK0(X0,X1)) )
& big_g(X0,X1)
& big_f(X0,X1) )
| ~ big_f(sK0(X0,X1),sK0(X0,X1))
| ~ big_f(X1,sK0(X0,X1)) )
& big_f(X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
! [X0,X1] :
( ( ( ( ~ big_g(sK0(X0,X1),sK0(X0,X1))
| ~ big_g(X0,sK0(X0,X1)) )
& big_g(X0,X1)
& big_f(X0,X1) )
| ~ big_f(sK0(X0,X1),sK0(X0,X1))
| ~ big_f(X1,sK0(X0,X1)) )
& big_f(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f4,f5]) ).
fof(f7,plain,
! [X0,X1] : big_f(X0,X1),
inference(cnf_transformation,[],[f6]) ).
fof(f8,plain,
! [X0,X1] :
( big_f(X0,X1)
| ~ big_f(sK0(X0,X1),sK0(X0,X1))
| ~ big_f(X1,sK0(X0,X1)) ),
inference(cnf_transformation,[],[f6]) ).
fof(f9,plain,
! [X0,X1] :
( big_g(X0,X1)
| ~ big_f(sK0(X0,X1),sK0(X0,X1))
| ~ big_f(X1,sK0(X0,X1)) ),
inference(cnf_transformation,[],[f6]) ).
fof(f10,plain,
! [X0,X1] :
( ~ big_g(sK0(X0,X1),sK0(X0,X1))
| ~ big_g(X0,sK0(X0,X1))
| ~ big_f(sK0(X0,X1),sK0(X0,X1))
| ~ big_f(X1,sK0(X0,X1)) ),
inference(cnf_transformation,[],[f6]) ).
cnf(c_49,negated_conjecture,
( ~ big_g(sK0(X0,X1),sK0(X0,X1))
| ~ big_f(sK0(X0,X1),sK0(X0,X1))
| ~ big_g(X0,sK0(X0,X1))
| ~ big_f(X1,sK0(X0,X1)) ),
inference(cnf_transformation,[],[f10]) ).
cnf(c_50,negated_conjecture,
( ~ big_f(sK0(X0,X1),sK0(X0,X1))
| ~ big_f(X1,sK0(X0,X1))
| big_g(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
cnf(c_51,negated_conjecture,
( ~ big_f(sK0(X0,X1),sK0(X0,X1))
| ~ big_f(X1,sK0(X0,X1))
| big_f(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
cnf(c_52,negated_conjecture,
big_f(X0,X1),
inference(cnf_transformation,[],[f7]) ).
cnf(c_56,negated_conjecture,
big_f(X0,X1),
inference(global_subsumption_just,[status(thm)],[c_51,c_52]) ).
cnf(c_60,plain,
( ~ big_f(X0,sK0(X1,X0))
| big_g(X1,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_50,c_56]) ).
cnf(c_61,plain,
( ~ big_g(sK0(X0,X1),sK0(X0,X1))
| ~ big_g(X0,sK0(X0,X1))
| ~ big_f(X1,sK0(X0,X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_49,c_56]) ).
cnf(c_66,plain,
big_g(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[c_60,c_56]) ).
cnf(c_71,plain,
( ~ big_g(X0,sK0(X0,X1))
| ~ big_f(X1,sK0(X0,X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_61,c_66]) ).
cnf(c_75,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_71,c_56,c_66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN333+1 : TPTP v8.1.2. Released v2.0.0.
% 0.06/0.13 % Command : run_iprover %s %d THM
% 0.11/0.34 % Computer : n003.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Thu May 2 20:54:05 EDT 2024
% 0.11/0.34 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 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
% 0.46/1.17 % SZS status Started for theBenchmark.p
% 0.46/1.17 % SZS status Theorem for theBenchmark.p
% 0.46/1.17
% 0.46/1.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.46/1.17
% 0.46/1.17 ------ iProver source info
% 0.46/1.17
% 0.46/1.17 git: date: 2024-05-02 19:28:25 +0000
% 0.46/1.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.46/1.17 git: non_committed_changes: false
% 0.46/1.17
% 0.46/1.17 ------ Parsing...
% 0.46/1.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 0.46/1.17
% 0.46/1.17 ------ Preprocessing...
% 0.46/1.17
% 0.46/1.17 % SZS status Theorem for theBenchmark.p
% 0.46/1.17
% 0.46/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.46/1.17
% 0.46/1.17
%------------------------------------------------------------------------------