%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : TIM031_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n012.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 03:54:35 PM UTC 2026
% Result : Theorem 0.97s 1.06s
% Output : CNFRefutation 0.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 44 ( 30 unt; 0 typ; 0 def)
% Number of atoms : 147 ( 0 equ)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 52 ( 27 ~; 23 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 78 ( 78 fml; 0 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 21 ( 20 usr; 9 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 21 ( 0 sgn 21 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
a: interval ).
tff(pred_def_1,type,
before: ( interval * interval ) > $o ).
tff(pred_def_2,type,
after: ( interval * interval ) > $o ).
tff(pred_def_3,type,
meets: ( interval * interval ) > $o ).
tff(pred_def_4,type,
met_by: ( interval * interval ) > $o ).
tff(pred_def_5,type,
overlaps: ( interval * interval ) > $o ).
tff(pred_def_6,type,
overlapped_by: ( interval * interval ) > $o ).
tff(pred_def_7,type,
starts: ( interval * interval ) > $o ).
tff(pred_def_8,type,
started_by: ( interval * interval ) > $o ).
tff(pred_def_9,type,
during: ( interval * interval ) > $o ).
tff(pred_def_10,type,
contains: ( interval * interval ) > $o ).
tff(pred_def_11,type,
finishes: ( interval * interval ) > $o ).
tff(pred_def_12,type,
finished_by: ( interval * interval ) > $o ).
tff(f8,axiom,
! [X0: interval,X1: interval,X2: interval] :
( ( before(X1,X2)
& before(X0,X1) )
=> before(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/TIM002_0.ax',before_transitive) ).
tff(f9,axiom,
before(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
tff(f10,axiom,
before(b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).
tff(f11,axiom,
before(c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3) ).
tff(f12,axiom,
before(d,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4) ).
tff(f13,axiom,
before(e,f),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5) ).
tff(f14,axiom,
before(f,g),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6) ).
tff(f15,axiom,
before(g,h),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7) ).
tff(f16,conjecture,
before(a,h),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
tff(f17,negated_conjecture,
~ before(a,h),
inference(negated_conjecture,[status(cth)],[f16]) ).
tff(f18,plain,
~ before(a,h),
inference(flattening,[],[f17]) ).
tff(f19,plain,
! [X0: interval,X1: interval,X2: interval] :
( ~ before(X1,X2)
| ~ before(X0,X1)
| before(X0,X2) ),
inference(ennf_transformation,[],[f8]) ).
tff(f20,plain,
! [X0: interval,X1: interval,X2: interval] :
( ~ before(X1,X2)
| ~ before(X0,X1)
| before(X0,X2) ),
inference(flattening,[],[f19]) ).
tff(f25,plain,
! [X2: interval,X0: interval,X1: interval] :
( ~ before(X1,X2)
| ~ before(X0,X1)
| before(X0,X2) ),
inference(cnf_transformation,[],[f20]) ).
tff(f26,plain,
before(a,b),
inference(cnf_transformation,[],[f9]) ).
tff(f27,plain,
before(b,c),
inference(cnf_transformation,[],[f10]) ).
tff(f28,plain,
before(c,d),
inference(cnf_transformation,[],[f11]) ).
tff(f29,plain,
before(d,e),
inference(cnf_transformation,[],[f12]) ).
tff(f30,plain,
before(e,f),
inference(cnf_transformation,[],[f13]) ).
tff(f31,plain,
before(f,g),
inference(cnf_transformation,[],[f14]) ).
tff(f32,plain,
before(g,h),
inference(cnf_transformation,[],[f15]) ).
tff(f33,plain,
~ before(a,h),
inference(cnf_transformation,[],[f18]) ).
tcf(c_52,plain,
! [X0_interval: interval,X1_interval: interval,X2_interval: interval] :
( before(X0_interval,X2_interval)
| ~ before(X1_interval,X2_interval)
| ~ before(X0_interval,X1_interval) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_53,plain,
before(a,b),
inference(cnf_transformation,[],[f26]) ).
tcf(c_54,plain,
before(b,c),
inference(cnf_transformation,[],[f27]) ).
tcf(c_55,plain,
before(c,d),
inference(cnf_transformation,[],[f28]) ).
tcf(c_56,plain,
before(d,e),
inference(cnf_transformation,[],[f29]) ).
tcf(c_57,plain,
before(e,f),
inference(cnf_transformation,[],[f30]) ).
tcf(c_58,plain,
before(f,g),
inference(cnf_transformation,[],[f31]) ).
tcf(c_59,plain,
before(g,h),
inference(cnf_transformation,[],[f32]) ).
tcf(c_60,negated_conjecture,
~ before(a,h),
inference(cnf_transformation,[],[f33]) ).
tcf(c_121,plain,
! [X0_interval: interval] :
( before(a,X0_interval)
| ~ before(b,X0_interval) ),
inference(resolution,[status(thm)],[c_52,c_53]) ).
tcf(c_123,plain,
! [X0_interval: interval] :
( before(b,X0_interval)
| ~ before(c,X0_interval) ),
inference(resolution,[status(thm)],[c_52,c_54]) ).
tcf(c_125,plain,
! [X0_interval: interval] :
( before(c,X0_interval)
| ~ before(d,X0_interval) ),
inference(resolution,[status(thm)],[c_52,c_55]) ).
tcf(c_137,plain,
before(c,e),
inference(resolution,[status(thm)],[c_125,c_56]) ).
tcf(c_147,plain,
before(b,e),
inference(resolution,[status(thm)],[c_137,c_123]) ).
tcf(c_158,plain,
before(a,e),
inference(resolution,[status(thm)],[c_147,c_121]) ).
tcf(c_171,plain,
! [X0_interval: interval] :
( before(X0_interval,f)
| ~ before(e,f)
| ~ before(X0_interval,e) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_172,plain,
( before(a,f)
| ~ before(e,f)
| ~ before(a,e) ),
inference(instantiation,[status(thm)],[c_171]) ).
tcf(c_176,plain,
! [X0_interval: interval] :
( before(X0_interval,g)
| ~ before(f,g)
| ~ before(X0_interval,f) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_177,plain,
( before(a,g)
| ~ before(f,g)
| ~ before(a,f) ),
inference(instantiation,[status(thm)],[c_176]) ).
tcf(c_181,plain,
! [X0_interval: interval] :
( before(X0_interval,h)
| ~ before(g,h)
| ~ before(X0_interval,g) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_182,plain,
( before(a,h)
| ~ before(g,h)
| ~ before(a,g) ),
inference(instantiation,[status(thm)],[c_181]) ).
tcf(c_183,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_182,c_177,c_172,c_158,c_60,c_57,c_58,c_59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : TIM031_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Fri Sep 25 04:07:06 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.03/0.32 Running first-order theorem proving
% 0.03/0.32 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.32
% 0.03/0.32 % ======== iProver multi-core TPTP/SMT =========
% 0.03/0.32
% 0.03/0.32 % Detected problem language: tptp
% 0.07/0.33 % Proving...
% 0.97/1.06 % SZS status Started for theBenchmark.p
% 0.97/1.06 % SZS status Theorem for theBenchmark.p
% 0.97/1.06
% 0.97/1.06 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.97/1.06
% 0.97/1.06 % ------ iProver source info
% 0.97/1.06
% 0.97/1.06 % git: date: 2026-07-19 20:42:38 +0200
% 0.97/1.06 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.97/1.06 % git: non_committed_changes: false
% 0.97/1.06
% 0.97/1.06 % ------ Parsing...
% 0.97/1.06 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 0.97/1.06 %
% 0.97/1.06
% 0.97/1.06 % ------ Preprocessing... pe_s pe:1:0s pe_e pe_s pe_e %
% 0.97/1.06
% 0.97/1.06 % ------ Preprocessing...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 0.97/1.06 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.97/1.06 % ------ Proving...
% 0.97/1.06 % ------ Problem Properties
% 0.97/1.06
% 0.97/1.06 %
% 0.97/1.06 % clauses 10
% 0.97/1.06 % conjectures 1
% 0.97/1.06 % EPR 10
% 0.97/1.06 % Horn 10
% 0.97/1.06 % unary 9
% 0.97/1.06 % binary 0
% 0.97/1.06 % lits 12
% 0.97/1.06 % lits eq 0
% 0.97/1.06 % fd_pure 0
% 0.97/1.06 % fd_pseudo 0
% 0.97/1.06 % fd_cond 0
% 0.97/1.06 % fd_pseudo_cond 0
% 0.97/1.06 % AC symbols 0
% 0.97/1.06
% 0.97/1.06 % ------ Schedule EPR Horn non eq is on
% 0.97/1.06
% 0.97/1.06 % ------ no equalities: superposition off
% 0.97/1.06
% 0.97/1.06 % ------ Option_epr_horn Time Limit: Unbounded
% 0.97/1.06
% 0.97/1.06
% 0.97/1.06 % ------
% 0.97/1.06 % Current options:
% 0.97/1.06 % ------
% 0.97/1.06
% 0.97/1.06
% 0.97/1.06 %
% 0.97/1.06
% 0.97/1.06 % ------ Proving...
% 0.97/1.06 %
% 0.97/1.06
% 0.97/1.06 % SZS status Theorem for theBenchmark.p
% 0.97/1.06
% 0.97/1.06 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.97/1.06
% 0.97/1.06
%------------------------------------------------------------------------------