%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GEO085-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n001.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 01:17:00 PM UTC 2026
% Result : Unsatisfiable 4.29s 0.97s
% Output : Proof 4.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 40 ( 16 unt; 0 def)
% Number of atoms : 68 ( 20 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 70 ( 42 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-4 aty)
% Number of variables : 51 ( 2 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f32,axiom,
( end_point(ax0_sk7(A),A)
| ~ open(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',open_defn_33) ).
fof(f32_nnf,plain,
! [A] :
( end_point(ax0_sk7(A),A)
| ~ open(A) ),
inference(nnf_transformation,[status(thm)],[f32]) ).
fof(f32_sk,plain,
! [A] :
( end_point(ax0_sk7(A),A)
| ~ open(A) ),
inference(skolemisation,[status(esa)],[f32_nnf]) ).
cnf(c32,plain,
( end_point(ax0_sk7(X0),X0)
| ~ open(X0) ),
inference(cnf_transformation,[status(esa)],[f32_sk]) ).
cnf(hi27,axiom,
ifeq(open(X0),true,end_point(ax0_sk7(X0),X0),true) = true,
inference(equality_encoding,[status(esa)],[c32]) ).
cnf(f48,negated_conjecture,
open(sk14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_2_7_1_67) ).
fof(f48_nnf,plain,
open(sk14),
inference(nnf_transformation,[status(thm)],[f48]) ).
cnf(c48,plain,
open(sk14),
inference(cnf_transformation,[status(esa)],[f48_nnf]) ).
cnf(hi40,negated_conjecture,
open(sk14) = true,
inference(equality_encoding,[status(esa)],[c48]) ).
cnf(h0,plain,
end_point(ax0_sk7(sk14),sk14) = true,
inference(hyper_resolution,[status(thm)],[hi27,hi40]) ).
cnf(f40,axiom,
( end_point(ax0_sk11(A,B),B)
| ~ end_point(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c6_41) ).
fof(f40_nnf,plain,
! [A,B] :
( end_point(ax0_sk11(A,B),B)
| ~ end_point(A,B) ),
inference(nnf_transformation,[status(thm)],[f40]) ).
fof(f40_sk,plain,
! [A,B] :
( end_point(ax0_sk11(A,B),B)
| ~ end_point(A,B) ),
inference(skolemisation,[status(esa)],[f40_nnf]) ).
cnf(c40,plain,
( end_point(ax0_sk11(X0,X1),X1)
| ~ end_point(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f40_sk]) ).
cnf(hi35,axiom,
ifeq(end_point(X0,X1),true,end_point(ax0_sk11(X0,X1),X1),true) = true,
inference(equality_encoding,[status(esa)],[c40]) ).
cnf(h4,plain,
end_point(ax0_sk11(ax0_sk7(sk14),sk14),sk14) = true,
inference(hyper_resolution,[status(thm)],[hi35,h0]) ).
cnf(f49,negated_conjecture,
( ~ end_point(B,sk14)
| ~ end_point(A,sk14)
| A = B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_2_7_1_68) ).
fof(f49_nnf,plain,
! [A,B] :
( ~ end_point(B,sk14)
| ~ end_point(A,sk14)
| A = B ),
inference(nnf_transformation,[status(thm)],[f49]) ).
fof(f49_sk,plain,
! [A,B] :
( ~ end_point(B,sk14)
| ~ end_point(A,sk14)
| A = B ),
inference(skolemisation,[status(esa)],[f49_nnf]) ).
cnf(c49,plain,
( ~ end_point(X1,sk14)
| ~ end_point(X0,sk14)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f49_sk]) ).
cnf(hi41,negated_conjecture,
ifeq(end_point(X0,sk14),true,ifeq(end_point(X1,sk14),true,X0,X1),X1) = X1,
inference(equality_encoding,[status(esa)],[c49]) ).
cnf(h41,plain,
ax0_sk7(sk14) = ax0_sk11(ax0_sk7(sk14),sk14),
inference(hyper_resolution,[status(thm)],[hi41,h0,h4]) ).
cnf(f41,axiom,
( A != ax0_sk11(A,B)
| ~ end_point(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c6_42) ).
fof(f41_nnf,plain,
! [A,B] :
( A != ax0_sk11(A,B)
| ~ end_point(A,B) ),
inference(nnf_transformation,[status(thm)],[f41]) ).
fof(f41_sk,plain,
! [A,B] :
( A != ax0_sk11(A,B)
| ~ end_point(A,B) ),
inference(skolemisation,[status(esa)],[f41_nnf]) ).
cnf(c41,plain,
( X0 != ax0_sk11(X0,X1)
| ~ end_point(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f41_sk]) ).
cnf(hi44,axiom,
ifeq(end_point(X0,X1),true,ifeq(X0,ax0_sk11(X0,X1),false,true),true) = true,
inference(equality_encoding,[status(esa)],[c41]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi44,h0,h41]) ).
cnf(t724,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
cnf(f21,axiom,
( ~ end_point(A,B)
| ~ inner_point(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_point_defn_22) ).
fof(f21_nnf,plain,
! [A,B] :
( ~ end_point(A,B)
| ~ inner_point(A,B) ),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
! [A,B] :
( ~ end_point(A,B)
| ~ inner_point(A,B) ),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c21,plain,
( ~ end_point(X0,X1)
| ~ inner_point(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(f30,axiom,
( ~ end_point(B,A)
| ~ closed(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closed_defn_31) ).
fof(f30_nnf,plain,
! [A,B] :
( ~ end_point(B,A)
| ~ closed(A) ),
inference(nnf_transformation,[status(thm)],[f30]) ).
fof(f30_sk,plain,
! [A,B] :
( ~ end_point(B,A)
| ~ closed(A) ),
inference(skolemisation,[status(esa)],[f30_nnf]) ).
cnf(c30,plain,
( ~ end_point(X1,X0)
| ~ closed(X0) ),
inference(cnf_transformation,[status(esa)],[f30_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c21,c30,c41]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t724]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO085-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.34 % Computer : n001.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Wed Sep 23 10:52:21 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.29/0.97 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.29/0.97 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------