%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SEU264+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n007.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 02:51:32 PM UTC 2026
% Result : Theorem 3.10s 0.89s
% Output : Proof 3.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 31 ( 15 unt; 0 def)
% Number of atoms : 62 ( 11 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 52 ( 21 ~; 15 |; 8 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-4 aty)
% Number of variables : 62 ( 4 sgn 38 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
! [A,B,C] :
( relation_of2_as_subset(C,A,B)
=> ( subset(relation_rng(C),B)
& subset(relation_dom(C),A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_relset_1) ).
fof(f13_nnf,plain,
! [A,B,C] :
( ( subset(relation_rng(C),B)
& subset(relation_dom(C),A) )
| ~ relation_of2_as_subset(C,A,B) ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [C,A,B] :
( ( subset(relation_rng(C),B)
& subset(relation_dom(C),A) )
| ~ relation_of2_as_subset(C,A,B) ),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c15,plain,
( subset(relation_rng(X2),X1)
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(hi9,axiom,
ifeq(relation_of2_as_subset(X0,X1,X2),true,subset(relation_rng(X0),X2),true) = true,
inference(equality_encoding,[status(esa)],[c15]) ).
fof(f15,conjecture,
! [A,B,C,D] :
( relation_of2_as_subset(D,C,A)
=> ( subset(A,B)
=> relation_of2_as_subset(D,C,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_relset_1) ).
fof(f15_neg,negated_conjecture,
~ ! [A,B,C,D] :
( relation_of2_as_subset(D,C,A)
=> ( subset(A,B)
=> relation_of2_as_subset(D,C,B) ) ),
inference(negated_conjecture,[status(cth)],[f15]) ).
fof(f15_nnf,plain,
? [A,B,C,D] :
( ~ relation_of2_as_subset(D,C,B)
& subset(A,B)
& relation_of2_as_subset(D,C,A) ),
inference(nnf_transformation,[status(thm)],[f15_neg]) ).
fof(f15_sk,plain,
( ~ relation_of2_as_subset(sk6,sk5,sk4)
& subset(sk3,sk4)
& relation_of2_as_subset(sk6,sk5,sk3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk3,sk4,sk5,sk6])],[f15_nnf]) ).
cnf(c17,plain,
relation_of2_as_subset(sk6,sk5,sk3),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(hi11,negated_conjecture,
relation_of2_as_subset(sk6,sk5,sk3) = true,
inference(equality_encoding,[status(esa)],[c17]) ).
cnf(h0,plain,
subset(relation_rng(sk6),sk3) = true,
inference(hyper_resolution,[status(thm)],[hi9,hi11]) ).
fof(f16,axiom,
! [A,B,C] :
( ( subset(B,C)
& subset(A,B) )
=> subset(A,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f16_nnf,plain,
! [A,B,C] :
( subset(A,C)
| ~ subset(B,C)
| ~ subset(A,B) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
! [A,B,C] :
( subset(A,C)
| ~ subset(B,C)
| ~ subset(A,B) ),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c20,plain,
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(hi13,axiom,
ifeq(subset(X0,X1),true,ifeq(subset(X1,X2),true,subset(X0,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c20]) ).
cnf(c18,plain,
subset(sk3,sk4),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(hi12,negated_conjecture,
subset(sk3,sk4) = true,
inference(equality_encoding,[status(esa)],[c18]) ).
cnf(h1,plain,
subset(relation_rng(sk6),sk4) = true,
inference(hyper_resolution,[status(thm)],[hi13,h0,hi12]) ).
fof(f14,axiom,
! [A,B,C,D] :
( relation_of2_as_subset(D,C,A)
=> ( subset(relation_rng(D),B)
=> relation_of2_as_subset(D,C,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_relset_1) ).
fof(f14_nnf,plain,
! [A,B,C,D] :
( relation_of2_as_subset(D,C,B)
| ~ subset(relation_rng(D),B)
| ~ relation_of2_as_subset(D,C,A) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [D,C,A,B] :
( relation_of2_as_subset(D,C,B)
| ~ subset(relation_rng(D),B)
| ~ relation_of2_as_subset(D,C,A) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c16,plain,
( relation_of2_as_subset(X3,X2,X1)
| ~ subset(relation_rng(X3),X1)
| ~ relation_of2_as_subset(X3,X2,X0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(hi10,axiom,
ifeq(relation_of2_as_subset(X0,X1,X2),true,ifeq(subset(relation_rng(X0),X3),true,relation_of2_as_subset(X0,X1,X3),true),true) = true,
inference(equality_encoding,[status(esa)],[c16]) ).
cnf(t4,plain,
relation_of2_as_subset(sk6,sk5,sk4) = true,
inference(hyper_resolution,[status(thm)],[hi10,hi11,h1]) ).
cnf(t52,plain,
relation_of2_as_subset(sk6,sk5,sk4) = true,
inference(orient,[status(thm)],[t4]) ).
cnf(c19,plain,
~ relation_of2_as_subset(sk6,sk5,sk4),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(goal_0,negated_conjecture,
relation_of2_as_subset(sk6,sk5,sk4) != true,
inference(equality_encoding,[status(esa)],[c19]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t52]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU264+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.37 % Computer : n007.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 13:25:23 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.10/0.89 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.10/0.89 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------