%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SEU040+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 : Sun Sep 27 08:44:56 AM UTC 2026
% Result : Theorem 0.15s 5.40s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 5 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 27 ( 10 ~; 5 |; 8 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 4 sgn 8 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t89_relat_1,axiom,
! [A,B] :
( relation(B)
=> subset(relation_dom(relation_dom_restriction(B,A)),relation_dom(B)) ),
file('theBenchmark.p',t89_relat_1) ).
fof(t99_relat_1,axiom,
! [A,B] :
( relation(B)
=> subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)) ),
file('theBenchmark.p',t99_relat_1) ).
fof(t76_funct_1,conjecture,
! [A,B] :
( ( function(B)
& relation(B) )
=> ( subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B))
& subset(relation_dom(relation_dom_restriction(B,A)),relation_dom(B)) ) ),
file('theBenchmark.p',t76_funct_1) ).
fof(t76_funct_1_neg,negated_conjecture,
~ ! [A,B] :
( ( function(B)
& relation(B) )
=> ( subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B))
& subset(relation_dom(relation_dom_restriction(B,A)),relation_dom(B)) ) ),
inference(assume_negation,[status(cth)],[t76_funct_1]) ).
fof(nnf_37,plain,
? [A,B] :
( ( ~ subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B))
| ~ subset(relation_dom(relation_dom_restriction(B,A)),relation_dom(B)) )
& function(B)
& relation(B) ),
inference(fof_nnf,[status(thm)],[t76_funct_1_neg]) ).
fof(sk_t76_funct_1_neg,plain,
( ( ~ subset(relation_rng(relation_dom_restriction(sK0,sK1)),relation_rng(sK0))
| ~ subset(relation_dom(relation_dom_restriction(sK0,sK1)),relation_dom(sK0)) )
& function(sK0)
& relation(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(A,sK1),skolemize(B,sK0)],[nnf_37]) ).
cnf(c_38,negated_conjecture,
( ~ subset(relation_rng(relation_dom_restriction(sK0,sK1)),relation_rng(sK0))
| ~ subset(relation_dom(relation_dom_restriction(sK0,sK1)),relation_dom(sK0)) ),
inference(split_conjunct,[status(thm)],[sk_t76_funct_1_neg]) ).
cnf(c_40,negated_conjecture,
relation(sK0),
inference(split_conjunct,[status(thm)],[sk_t76_funct_1_neg]) ).
cnf(c_41,plain,
( subset(relation_rng(relation_dom_restriction(A,B)),relation_rng(A))
| ~ relation(A) ),
inference(clausify,[status(thm)],[t99_relat_1]) ).
cnf(c_42,plain,
( subset(relation_dom(relation_dom_restriction(A,B)),relation_dom(A))
| ~ relation(A) ),
inference(clausify,[status(thm)],[t89_relat_1]) ).
cnf(c_91,plain,
subset(relation_rng(relation_dom_restriction(sK0,A)),relation_rng(sK0)),
inference(resolve,[status(thm)],[c_41,c_40]) ).
cnf(c_92,negated_conjecture,
~ subset(relation_dom(relation_dom_restriction(sK0,sK1)),relation_dom(sK0)),
inference(resolve,[status(thm)],[c_91,c_38]) ).
cnf(c_93,plain,
subset(relation_dom(relation_dom_restriction(sK0,A)),relation_dom(sK0)),
inference(resolve,[status(thm)],[c_42,c_40]) ).
cnf(c_94,plain,
$false,
inference(resolve,[status(thm)],[c_93,c_92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU040+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.37 % Computer : n016.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.37 % CPULimit : 300
% 0.11/5.37 % WCLimit : 300
% 0.11/5.37 % DateTime : Sat Sep 26 08:36:51 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/5.38 % Process 439882 was started by sandbox on n016,
% 0.11/5.38 % Sat Sep 26 08:36:51 2026
% 0.11/5.38 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.11/5.39
% 0.11/5.39 % From the command line: assign(max_seconds, 300).
% 0.15/5.40
% 0.15/5.40 % SZS status Theorem for theBenchmark
% 0.15/5.40
% 0.15/5.40 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.15/5.40 % Length of proof is 11.
% 0.15/5.40 % Level of proof is 4.
% 0.15/5.40 % Maximum clause weight is 14.000.
% 0.15/5.40 % Given clauses 5.
% 0.15/5.40
% 0.15/5.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------