%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO079-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n002.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 01:19:48 PM UTC 2026
% Result : Unsatisfiable 1.38s 1.36s
% Output : CNFRefutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 5 prp; 0-6 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 24 ( 0 sgn 24 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X2,X3,X0,X1] :
( parallel(X1,X2,X0,X3)
| ~ trapezoid(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trapezoid_definition) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( eq(X2,X1,X0,X1,X2,X3)
| ~ parallel(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',interior_angles_are_equal) ).
fof(f5,axiom,
trapezoid(a,b,c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_trapezoid) ).
fof(f6,negated_conjecture,
~ eq(a,c,b,c,a,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_angles_equal) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( parallel(X1,X2,X0,X3)
| ~ trapezoid(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eq(X2,X1,X0,X1,X2,X3)
| ~ parallel(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_57,plain,
trapezoid(a,b,c,d),
inference(cnf_transformation,[],[f5]) ).
tcf(c_58,negated_conjecture,
~ eq(a,c,b,c,a,d),
inference(cnf_transformation,[],[f6]) ).
tcf(c_63,plain,
! [X0_iProver_eq_5: iProver_eq_5,X0_iProver_eq_4: iProver_eq_4,X0_iProver_eq_3: iProver_eq_3,X0_iProver_eq_6: iProver_eq_6] :
( eq(X0_iProver_eq_5,X0_iProver_eq_4,X0_iProver_eq_3,X0_iProver_eq_4,X0_iProver_eq_5,X0_iProver_eq_6)
| ~ parallel(X0_iProver_eq_3,X0_iProver_eq_4,X0_iProver_eq_5,X0_iProver_eq_6) ),
inference(subtyping,[status(esa)],[c_56]) ).
tcf(c_64,plain,
! [X0_iProver_eq_5: iProver_eq_5,X0_iProver_eq_4: iProver_eq_4,X0_iProver_eq_3: iProver_eq_3,X0_iProver_eq_6: iProver_eq_6] :
( parallel(X0_iProver_eq_3,X0_iProver_eq_4,X0_iProver_eq_5,X0_iProver_eq_6)
| ~ trapezoid(X0_iProver_eq_5,X0_iProver_eq_3,X0_iProver_eq_4,X0_iProver_eq_6) ),
inference(subtyping,[status(esa)],[c_55]) ).
tcf(c_65,plain,
( parallel(b,c,a,d)
| ~ trapezoid(a,b,c,d) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_66,plain,
( eq(a,c,b,c,a,d)
| ~ parallel(b,c,a,d) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_67,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_66,c_65,c_58,c_57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO079-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.44 % Computer : n002.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Wed Sep 23 10:47:34 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.26/0.51 Running EPR theorem proving
% 0.26/0.51 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.26/0.53
% 0.26/0.53 % ======== iProver multi-core TPTP/SMT =========
% 0.26/0.53
% 0.26/0.53 % Detected problem language: tptp
% 0.26/0.55 % Proving...
% 1.38/1.36 % SZS status Started for theBenchmark.p
% 1.38/1.36 % SZS status Unsatisfiable for theBenchmark.p
% 1.38/1.36
% 1.38/1.36 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.38/1.36
% 1.38/1.36 % ------ iProver source info
% 1.38/1.36
% 1.38/1.36 % git: date: 2026-07-19 20:42:38 +0200
% 1.38/1.36 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.38/1.36 % git: non_committed_changes: false
% 1.38/1.36
% 1.38/1.36 % ------ Parsing...% successful
% 1.38/1.36
% 1.38/1.36
% 1.38/1.36 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 1.38/1.36 %
% 1.38/1.36
% 1.38/1.36 % ------ Preprocessing... sf_s rm: 0 0s sf_e %
% 1.38/1.36
% 1.38/1.36 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 1.38/1.36 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.38/1.36 % ------ Proving...
% 1.38/1.36 % ------ Problem Properties
% 1.38/1.36
% 1.38/1.36 %
% 1.38/1.36 % clauses 4
% 1.38/1.36 % conjectures 1
% 1.38/1.36 % EPR 4
% 1.38/1.36 % Horn 4
% 1.38/1.36 % unary 2
% 1.38/1.36 % binary 2
% 1.38/1.36 % lits 6
% 1.38/1.36 % lits eq 0
% 1.38/1.36 % fd_pure 0
% 1.38/1.36 % fd_pseudo 0
% 1.38/1.36 % fd_cond 0
% 1.38/1.36 % fd_pseudo_cond 0
% 1.38/1.36 % AC symbols 0
% 1.38/1.36
% 1.38/1.36 % ------ Schedule EPR Horn non eq is on
% 1.38/1.36
% 1.38/1.36 % ------ no equalities: superposition off
% 1.38/1.36
% 1.38/1.36 % ------ Option_epr_horn Time Limit: Unbounded
% 1.38/1.36
% 1.38/1.36
% 1.38/1.36 % ------
% 1.38/1.36 % Current options:
% 1.38/1.36 % ------
% 1.38/1.36
% 1.38/1.36
% 1.38/1.36 %
% 1.38/1.36
% 1.38/1.36 % ------ Proving...
% 1.38/1.36 %
% 1.38/1.36
% 1.38/1.36 % SZS status Unsatisfiable for theBenchmark.p
% 1.38/1.36
% 1.38/1.36 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.38/1.36
% 1.38/1.36
%------------------------------------------------------------------------------