%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GEO079-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n006.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 01:16:58 PM UTC 2026
% Result : Unsatisfiable 0.14s 5.88s
% Output : Proof 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 17 unt; 0 def)
% Number of atoms : 33 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 22 ( 14 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-6 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-4 aty)
% Number of variables : 40 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f4,hypothesis,
trapezoid(a,b,c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_trapezoid) ).
fof(f4_nnf,plain,
trapezoid(a,b,c,d),
inference(nnf_transformation,[status(thm)],[f4]) ).
cnf(c4,plain,
trapezoid(a,b,c,d),
inference(cnf_transformation,[status(esa)],[f4_nnf]) ).
cnf(hi4,axiom,
trapezoid(a,b,c,d) = true,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(h0,plain,
trapezoid(a,b,c,d) = true,
inference(hyper_resolution,[status(thm)],[hi4]) ).
cnf(f2,axiom,
( parallel(V,W,U,X)
| ~ trapezoid(U,V,W,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trapezoid_definition) ).
fof(f2_nnf,plain,
! [U,V,W,X] :
( parallel(V,W,U,X)
| ~ trapezoid(U,V,W,X) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [U,V,W,X] :
( parallel(V,W,U,X)
| ~ trapezoid(U,V,W,X) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( parallel(X1,X2,X0,X3)
| ~ trapezoid(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(hi2,axiom,
ifeq(trapezoid(X0,X1,X2,X3),true,parallel(X1,X2,X0,X3),true) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(h1,plain,
parallel(b,c,a,d) = true,
inference(hyper_resolution,[status(thm)],[hi2,h0]) ).
cnf(f3,axiom,
( eq(X,V,U,V,X,Y)
| ~ parallel(U,V,X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',interior_angles_are_equal) ).
fof(f3_nnf,plain,
! [U,V,X,Y] :
( eq(X,V,U,V,X,Y)
| ~ parallel(U,V,X,Y) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [U,V,X,Y] :
( eq(X,V,U,V,X,Y)
| ~ parallel(U,V,X,Y) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( eq(X2,X1,X0,X1,X2,X3)
| ~ parallel(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(hi3,axiom,
ifeq(parallel(X0,X1,X2,X3),true,eq(X2,X1,X0,X1,X2,X3),true) = true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(t2,plain,
eq(a,c,b,c,a,d) = true,
inference(hyper_resolution,[status(thm)],[hi3,h1]) ).
cnf(t12,plain,
eq(a,c,b,c,a,d) = true,
inference(orient,[status(thm)],[t2]) ).
cnf(f5,negated_conjecture,
~ eq(a,c,b,c,a,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_angles_equal) ).
fof(f5_nnf,plain,
~ eq(a,c,b,c,a,d),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
~ eq(a,c,b,c,a,d),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
~ eq(a,c,b,c,a,d),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(goal_0,negated_conjecture,
eq(a,c,b,c,a,d) != true,
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t12]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO079-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.12/5.38 % Computer : n006.cluster.edu
% 0.12/5.38 % Model : x86_64 x86_64
% 0.12/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.38 % Memory : 8046.5625MB
% 0.12/5.38 % OS : Linux 6.8.0-71-generic
% 0.12/5.38 % CPULimit : 300
% 0.12/5.38 % WCLimit : 300
% 0.12/5.38 % DateTime : Wed Sep 23 10:45:05 UTC 2026
% 0.12/5.38 % CPUTime :
% 0.12/5.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.14/5.88 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/5.88 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------