%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV414+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:13:13 PM UTC 2026
% Result : Theorem 7.78s 1.46s
% Output : Proof 7.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 48 ( 36 unt; 0 def)
% Number of atoms : 81 ( 15 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 81 ( 48 ~; 20 |; 9 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-4 aty)
% Number of variables : 65 ( 13 sgn 47 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f62,conjecture,
! [U] : i(triple(create_pqp,create_slb,U)) = create_pq,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f62_neg,negated_conjecture,
~ ! [U] : i(triple(create_pqp,create_slb,U)) = create_pq,
inference(negated_conjecture,[status(cth)],[f62]) ).
fof(f62_nnf,plain,
? [U] : i(triple(create_pqp,create_slb,U)) != create_pq,
inference(nnf_transformation,[status(thm)],[f62_neg]) ).
fof(f62_sk,plain,
i(triple(create_pqp,create_slb,sk4)) != create_pq,
inference(skolemisation,[status(esa),new_symbols(skolem,[sk4])],[f62_nnf]) ).
cnf(c88,plain,
i(triple(create_pqp,create_slb,sk4)) != create_pq,
inference(cnf_transformation,[status(esa)],[f62_sk]) ).
cnf(hi86,negated_conjecture,
ifeq(i(triple(create_pqp,create_slb,sk4)),create_pq,false,true) = true,
inference(equality_encoding,[status(esa)],[c88]) ).
fof(f53,axiom,
! [U,V] : i(triple(U,create_slb,V)) = create_pq,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax54) ).
fof(f53_nnf,plain,
! [U,V] : i(triple(U,create_slb,V)) = create_pq,
inference(nnf_transformation,[status(thm)],[f53]) ).
fof(f53_sk,plain,
! [U,V] : i(triple(U,create_slb,V)) = create_pq,
inference(skolemisation,[status(esa)],[f53_nnf]) ).
cnf(c68,plain,
i(triple(X0,create_slb,X1)) = create_pq,
inference(cnf_transformation,[status(esa)],[f53_sk]) ).
cnf(hi58,axiom,
i(triple(X0,create_slb,X1)) = create_pq,
inference(equality_encoding,[status(esa)],[c68]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi86,hi58]) ).
cnf(t266,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
fof(f3,axiom,
! [U,V] :
( strictly_less_than(U,V)
<=> ( ~ less_than(V,U)
& less_than(U,V) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stricly_smaller_definition) ).
fof(f3_nnf,plain,
! [U,V] :
( ( less_than(V,U)
| ~ less_than(U,V)
| strictly_less_than(U,V) )
& ( ( ~ less_than(V,U)
& less_than(U,V) )
| ~ strictly_less_than(U,V) ) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [U,V] :
( ( less_than(V,U)
| ~ less_than(U,V)
| strictly_less_than(U,V) )
& ( ( ~ less_than(V,U)
& less_than(U,V) )
| ~ strictly_less_than(U,V) ) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c4,plain,
( ~ less_than(X1,X0)
| ~ strictly_less_than(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
fof(f5,axiom,
~ isnonempty_pq(create_pq),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f5_nnf,plain,
~ isnonempty_pq(create_pq),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
~ isnonempty_pq(create_pq),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c7,plain,
~ isnonempty_pq(create_pq),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
fof(f7,axiom,
! [U] : ~ contains_pq(create_pq,U),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f7_nnf,plain,
! [U] : ~ contains_pq(create_pq,U),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [U] : ~ contains_pq(create_pq,U),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c9,plain,
~ contains_pq(create_pq,X0),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
fof(f17,axiom,
~ isnonempty_slb(create_slb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(f17_nnf,plain,
~ isnonempty_slb(create_slb),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
~ isnonempty_slb(create_slb),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c23,plain,
~ isnonempty_slb(create_slb),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
fof(f19,axiom,
! [U] : ~ contains_slb(create_slb,U),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f19_nnf,plain,
! [U] : ~ contains_slb(create_slb,U),
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
! [U] : ~ contains_slb(create_slb,U),
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c25,plain,
~ contains_slb(create_slb,X0),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
fof(f21,axiom,
! [U,V] : ~ pair_in_list(create_slb,U,V),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
fof(f21_nnf,plain,
! [U,V] : ~ pair_in_list(create_slb,U,V),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
! [U,V] : ~ pair_in_list(create_slb,U,V),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c29,plain,
~ pair_in_list(create_slb,X0,X1),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
fof(f37,axiom,
! [U,V,W,X,Y] :
( strictly_less_than(X,Y)
=> ( check_cpq(triple(U,insert_slb(V,pair(X,Y)),W))
<=> $false ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).
fof(f37_nnf,plain,
! [U,V,W,X,Y] :
( ( ( ~ $false
| check_cpq(triple(U,insert_slb(V,pair(X,Y)),W)) )
& ( $false
| ~ check_cpq(triple(U,insert_slb(V,pair(X,Y)),W)) ) )
| ~ strictly_less_than(X,Y) ),
inference(nnf_transformation,[status(thm)],[f37]) ).
fof(f37_sk,plain,
! [X,Y,U,V,W] :
( ( ( ~ $false
| check_cpq(triple(U,insert_slb(V,pair(X,Y)),W)) )
& ( $false
| ~ check_cpq(triple(U,insert_slb(V,pair(X,Y)),W)) ) )
| ~ strictly_less_than(X,Y) ),
inference(skolemisation,[status(esa)],[f37_nnf]) ).
cnf(c49,plain,
( $false
| ~ check_cpq(triple(X0,insert_slb(X1,pair(X3,X4)),X2))
| ~ strictly_less_than(X3,X4) ),
inference(cnf_transformation,[status(esa)],[f37_sk]) ).
fof(f39,axiom,
! [U,V] :
( ok(triple(U,V,bad))
<=> $false ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax40) ).
fof(f39_nnf,plain,
! [U,V] :
( ( ~ $false
| ok(triple(U,V,bad)) )
& ( $false
| ~ ok(triple(U,V,bad)) ) ),
inference(nnf_transformation,[status(thm)],[f39]) ).
fof(f39_sk,plain,
! [U,V] :
( ( ~ $false
| ok(triple(U,V,bad)) )
& ( $false
| ~ ok(triple(U,V,bad)) ) ),
inference(skolemisation,[status(esa)],[f39_nnf]) ).
cnf(c53,plain,
( $false
| ~ ok(triple(X0,X1,bad)) ),
inference(cnf_transformation,[status(esa)],[f39_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c4,c7,c9,c23,c25,c29,c49,c53,c88]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t266]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV414+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.35 % Computer : n015.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Thu Sep 24 19:34:41 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.78/1.46 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.78/1.46 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------