%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GEO046-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n014.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 01:16:45 PM UTC 2026
% Result : Unsatisfiable 9.16s 1.81s
% Output : Proof 9.16s
% Verified :
% Comments :
%------------------------------------------------------------------------------
cnf(t68,axiom,
sF1 = ifeq(between(u,w,x),true,false,true),
introduced(definition) ).
cnf(f57,negated_conjecture,
~ between(u,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_w_between_u_and_x) ).
fof(f57_nnf,plain,
~ between(u,w,x),
inference(nnf_transformation,[status(thm)],[f57]) ).
fof(f57_sk,plain,
~ between(u,w,x),
inference(skolemisation,[status(esa)],[f57_nnf]) ).
cnf(c57,plain,
~ between(u,w,x),
inference(cnf_transformation,[status(esa)],[f57_sk]) ).
cnf(t11,plain,
between(u,w,x) = false,
inference(equality_encoding,[status(esa)],[c57]) ).
cnf(t80,plain,
between(u,w,x) = false,
inference(orient,[status(thm)],[t11]) ).
cnf(t67,axiom,
sF0 = between(u,w,x),
introduced(definition) ).
cnf(t3542,plain,
sF0 = false,
inference(step,[status(thm)],[t67,t80]) ).
cnf(t82,plain,
false = sF0,
inference(orient,[status(thm)],[t3542]) ).
cnf(t3551,plain,
between(u,w,x) = sF0,
inference(step,[status(thm)],[t80,t82]) ).
cnf(t91,plain,
between(u,w,x) = sF0,
inference(orient,[status(thm)],[t3551]) ).
cnf(t3557,plain,
sF1 = ifeq(sF0,true,false,true),
inference(step,[status(thm)],[t68,t91]) ).
cnf(t3558,plain,
sF1 = ifeq(sF0,true,sF0,true),
inference(step,[status(thm)],[t3557,t82]) ).
cnf(f9,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox2/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(t23,plain,
ifeq(between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),true,false,true) = true,
inference(equality_encoding,[status(esa)],[c9]) ).
cnf(t7,plain,
between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) = false,
inference(equality_encoding,[status(esa)],[c9]) ).
cnf(t76,plain,
between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) = false,
inference(orient,[status(thm)],[t7]) ).
cnf(t3545,plain,
between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) = sF0,
inference(step,[status(thm)],[t76,t82]) ).
cnf(t85,plain,
between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) = sF0,
inference(orient,[status(thm)],[t3545]) ).
cnf(t3555,plain,
ifeq(sF0,true,false,true) = true,
inference(step,[status(thm)],[t23,t85]) ).
cnf(t3556,plain,
ifeq(sF0,true,sF0,true) = true,
inference(step,[status(thm)],[t3555,t82]) ).
cnf(t107,plain,
ifeq(sF0,true,sF0,true) = true,
inference(orient,[status(thm)],[t3556]) ).
cnf(t3559,plain,
sF1 = true,
inference(step,[status(thm)],[t3558,t107]) ).
cnf(t109,plain,
true = sF1,
inference(orient,[status(thm)],[t3559]) ).
cnf(f55,hypothesis,
between(u,v,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_x) ).
fof(f55_nnf,plain,
between(u,v,x),
inference(nnf_transformation,[status(thm)],[f55]) ).
cnf(c55,plain,
between(u,v,x),
inference(cnf_transformation,[status(esa)],[f55_nnf]) ).
cnf(t10,plain,
between(u,v,x) = true,
inference(equality_encoding,[status(esa)],[c55]) ).
cnf(t79,plain,
between(u,v,x) = true,
inference(orient,[status(thm)],[t10]) ).
cnf(t3566,plain,
between(u,v,x) = sF1,
inference(step,[status(thm)],[t79,t109]) ).
cnf(t118,plain,
between(u,v,x) = sF1,
inference(orient,[status(thm)],[t3566]) ).
cnf(t3120,plain,
between(u,w,x) = sF1,
inference(rw,[status(thm)],[t118]) ).
cnf(t4142,plain,
sF0 = sF1,
inference(step,[status(thm)],[t3120,t91]) ).
cnf(t3321,plain,
sF1 = sF0,
inference(orient,[status(thm)],[t4142]) ).
cnf(t4157,plain,
true = sF0,
inference(step,[status(thm)],[t109,t3321]) ).
cnf(t3336,plain,
true = sF0,
inference(orient,[status(thm)],[t4157]) ).
cnf(f10,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
file('/export/starexec/sandbox2/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/sandbox2/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,c57]) ).
cnf(g0_0,plain,
sF0 != false,
inference(rw,[status(thm)],[goal_0,t3336]) ).
cnf(g0_1,plain,
sF0 != sF0,
inference(rw,[status(thm)],[g0_0,t82]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO046-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.35 % Computer : n014.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Wed Sep 23 10:33:48 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 9.16/1.81 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.16/1.81 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------