%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GEO040-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n019.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 01:16:41 PM UTC 2026
% Result : Unsatisfiable 15.15s 2.39s
% Output : Proof 15.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 7
% Syntax : Number of formulae : 43 ( 43 unt; 0 def)
% Number of atoms : 43 ( 30 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 19 ( 19 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-4 aty)
% Number of variables : 4 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(t61,axiom,
sF1 = ifeq(u,v,false,true),
introduced(definition) ).
cnf(t60,axiom,
sF0 = eq(u,v),
introduced(definition) ).
cnf(f49,negated_conjecture,
u != v,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_u_is_v) ).
fof(f49_nnf,plain,
u != v,
inference(nnf_transformation,[status(thm)],[f49]) ).
fof(f49_sk,plain,
u != v,
inference(skolemisation,[status(esa)],[f49_nnf]) ).
cnf(c49,plain,
u != v,
inference(cnf_transformation,[status(esa)],[f49_sk]) ).
cnf(t1,plain,
eq(u,v) = false,
inference(equality_encoding,[status(esa)],[c49]) ).
cnf(t63,plain,
eq(u,v) = false,
inference(orient,[status(thm)],[t1]) ).
cnf(t9801,plain,
sF0 = false,
inference(step,[status(thm)],[t60,t63]) ).
cnf(t68,plain,
false = sF0,
inference(orient,[status(thm)],[t9801]) ).
cnf(t9811,plain,
sF1 = ifeq(u,v,sF0,true),
inference(step,[status(thm)],[t61,t68]) ).
cnf(t19,plain,
ifeq(u,v,false,true) = true,
inference(equality_encoding,[status(esa)],[c49]) ).
cnf(t9810,plain,
ifeq(u,v,sF0,true) = true,
inference(step,[status(thm)],[t19,t68]) ).
cnf(t89,plain,
ifeq(u,v,sF0,true) = true,
inference(orient,[status(thm)],[t9810]) ).
cnf(t9812,plain,
sF1 = true,
inference(step,[status(thm)],[t9811,t89]) ).
cnf(t90,plain,
true = sF1,
inference(orient,[status(thm)],[t9812]) ).
cnf(t9802,plain,
eq(u,v) = sF0,
inference(step,[status(thm)],[t63,t68]) ).
cnf(t69,plain,
eq(u,v) = sF0,
inference(orient,[status(thm)],[t9802]) ).
cnf(t9185,plain,
eq(v,v) = sF0,
inference(rw,[status(thm)],[t69]) ).
cnf(t0,plain,
eq(X1,X1) = true,
introduced(definition) ).
cnf(t62,plain,
eq(X1,X1) = true,
inference(orient,[status(thm)],[t0]) ).
cnf(t9813,plain,
eq(X1,X1) = sF1,
inference(step,[status(thm)],[t62,t90]) ).
cnf(t91,plain,
eq(X1,X1) = sF1,
inference(orient,[status(thm)],[t9813]) ).
cnf(t10530,plain,
sF1 = sF0,
inference(step,[status(thm)],[t9185,t91]) ).
cnf(t9463,plain,
sF1 = sF0,
inference(orient,[status(thm)],[t10530]) ).
cnf(t10543,plain,
true = sF0,
inference(step,[status(thm)],[t90,t9463]) ).
cnf(t9476,plain,
true = sF0,
inference(orient,[status(thm)],[t10543]) ).
cnf(f9,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension1) ).
fof(f9_nnf,plain,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(f10,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension2) ).
fof(f10_nnf,plain,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(f11,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension3) ).
fof(f11_nnf,plain,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c9,c10,c11,c49]) ).
cnf(g0_0,plain,
sF0 != false,
inference(rw,[status(thm)],[goal_0,t9476]) ).
cnf(g0_1,plain,
sF0 != sF0,
inference(rw,[status(thm)],[g0_0,t68]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO040-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n019.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 10:31:49 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 15.15/2.39 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.15/2.39 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------