%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COL100-1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n013.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 01:02:51 PM UTC 2026
% Result : Unsatisfiable 15.18s 8.08s
% Output : CNFRefutation 15.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 39 ( 9 unt; 0 def)
% Number of atoms : 96 ( 3 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 117 ( 60 ~; 57 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-4 aty)
% Number of variables : 64 ( 0 sgn 64 !; 0 ?; 45 :)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X2,X0,X1] :
( member(pair(X0,X1),trancl(X2))
| ~ member(pair(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',r_into_trancl) ).
fof(f8,axiom,
! [X0] : trans(trancl(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',trans_trancl) ).
fof(f9,axiom,
! [X2,X3,X0,X1] :
( member(pair(X1,X3),X0)
| ~ member(pair(X2,X3),X0)
| ~ member(pair(X1,X2),X0)
| ~ trans(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transD) ).
fof(f10,axiom,
! [X2,X3,X0,X1] :
( member(pair(X3,diamond_strip_lemmaD_sk1(X1,X2,X3,X0)),trancl(X0))
| ~ member(pair(X1,X3),X0)
| ~ member(pair(X1,X2),trancl(X0))
| ~ diamond(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD1) ).
fof(f11,axiom,
! [X2,X3,X0,X1] :
( member(pair(X2,diamond_strip_lemmaD_sk1(X1,X2,X3,X0)),X0)
| ~ member(pair(X1,X3),X0)
| ~ member(pair(X1,X2),trancl(X0))
| ~ diamond(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD2) ).
fof(f12,axiom,
diamond(r),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_2h1) ).
fof(f14,axiom,
member(pair(ya,z),r),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_2h3) ).
fof(f15,axiom,
! [X0] :
( member(pair(ya,sk1(X0)),trancl(r))
| ~ member(pair(y,X0),trancl(r)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_2h4) ).
fof(f16,axiom,
! [X0] :
( member(pair(X0,sk1(X0)),trancl(r))
| ~ member(pair(y,X0),trancl(r)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_2h5) ).
fof(f17,negated_conjecture,
member(pair(y,yp),trancl(r)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_2c1) ).
fof(f18,negated_conjecture,
! [X0] :
( ~ member(pair(yp,X0),trancl(r))
| ~ member(pair(z,X0),trancl(r)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_2c2) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(pair(X0,X1),trancl(X2))
| ~ member(pair(X0,X1),X2) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_73,plain,
! [X0: $i] : trans(trancl(X0)),
inference(cnf_transformation,[],[f8]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(pair(X0,X3),X2)
| ~ trans(X2)
| ~ member(pair(X1,X3),X2)
| ~ member(pair(X0,X1),X2) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(pair(X3,diamond_strip_lemmaD_sk1(X0,X1,X3,X2)),trancl(X2))
| ~ diamond(X2)
| ~ member(pair(X0,X3),X2)
| ~ member(pair(X0,X1),trancl(X2)) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(pair(X1,diamond_strip_lemmaD_sk1(X0,X1,X3,X2)),X2)
| ~ diamond(X2)
| ~ member(pair(X0,X3),X2)
| ~ member(pair(X0,X1),trancl(X2)) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_77,plain,
diamond(r),
inference(cnf_transformation,[],[f12]) ).
tcf(c_79,plain,
member(pair(ya,z),r),
inference(cnf_transformation,[],[f14]) ).
tcf(c_80,plain,
! [X0: $i] :
( member(pair(ya,sk1(X0)),trancl(r))
| ~ member(pair(y,X0),trancl(r)) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_81,plain,
! [X0: $i] :
( member(pair(X0,sk1(X0)),trancl(r))
| ~ member(pair(y,X0),trancl(r)) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_82,negated_conjecture,
member(pair(y,yp),trancl(r)),
inference(cnf_transformation,[],[f17]) ).
tcf(c_83,negated_conjecture,
! [X0: $i] :
( ~ member(pair(yp,X0),trancl(r))
| ~ member(pair(z,X0),trancl(r)) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( member(pair(X2,X4),X1)
| ~ member(pair(X3,X4),X1)
| ~ member(pair(X2,X3),X1)
| ( trancl(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_73,c_74]) ).
tcf(c_167,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(pair(X0,X3),trancl(X2))
| ~ member(pair(X1,X3),trancl(X2))
| ~ member(pair(X0,X1),trancl(X2)) ),
inference(unflattening,[status(thm)],[c_166]) ).
tcf(c_180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(pair(X2,diamond_strip_lemmaD_sk1(X1,X2,X3,X0)),X0)
| ~ member(pair(X1,X3),X0)
| ~ member(pair(X1,X2),trancl(X0))
| ( X0 != r ) ),
inference(resolution_lifted,[status(thm)],[c_76,c_77]) ).
tcf(c_181,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(pair(X1,diamond_strip_lemmaD_sk1(X0,X1,X2,r)),r)
| ~ member(pair(X0,X2),r)
| ~ member(pair(X0,X1),trancl(r)) ),
inference(unflattening,[status(thm)],[c_180]) ).
tcf(c_192,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(pair(X3,diamond_strip_lemmaD_sk1(X1,X2,X3,X0)),trancl(X0))
| ~ member(pair(X1,X3),X0)
| ~ member(pair(X1,X2),trancl(X0))
| ( X0 != r ) ),
inference(resolution_lifted,[status(thm)],[c_75,c_77]) ).
tcf(c_193,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(pair(X2,diamond_strip_lemmaD_sk1(X0,X1,X2,r)),trancl(r))
| ~ member(pair(X0,X2),r)
| ~ member(pair(X0,X1),trancl(r)) ),
inference(unflattening,[status(thm)],[c_192]) ).
tcf(c_456,plain,
( member(pair(ya,sk1(yp)),trancl(r))
| ~ member(pair(y,yp),trancl(r)) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_457,plain,
( member(pair(yp,sk1(yp)),trancl(r))
| ~ member(pair(y,yp),trancl(r)) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_477,plain,
! [X0: $i] :
( member(pair(X0,diamond_strip_lemmaD_sk1(ya,sk1(yp),X0,r)),trancl(r))
| ~ member(pair(ya,X0),r)
| ~ member(pair(ya,sk1(yp)),trancl(r)) ),
inference(instantiation,[status(thm)],[c_193]) ).
tcf(c_478,plain,
! [X0: $i] :
( member(pair(sk1(yp),diamond_strip_lemmaD_sk1(ya,sk1(yp),X0,r)),r)
| ~ member(pair(ya,X0),r)
| ~ member(pair(ya,sk1(yp)),trancl(r)) ),
inference(instantiation,[status(thm)],[c_181]) ).
tcf(c_483,plain,
! [X0: $i] :
( member(pair(yp,X0),trancl(r))
| ~ member(pair(yp,sk1(yp)),trancl(r))
| ~ member(pair(sk1(yp),X0),trancl(r)) ),
inference(instantiation,[status(thm)],[c_167]) ).
tcf(c_497,plain,
( member(pair(z,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r))
| ~ member(pair(ya,z),r)
| ~ member(pair(ya,sk1(yp)),trancl(r)) ),
inference(instantiation,[status(thm)],[c_477]) ).
tcf(c_498,plain,
( member(pair(sk1(yp),diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),r)
| ~ member(pair(ya,z),r)
| ~ member(pair(ya,sk1(yp)),trancl(r)) ),
inference(instantiation,[status(thm)],[c_478]) ).
tcf(c_547,plain,
( ~ member(pair(yp,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r))
| ~ member(pair(z,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_557,plain,
( member(pair(sk1(yp),diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r))
| ~ member(pair(sk1(yp),diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),r) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_691,plain,
( member(pair(yp,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r))
| ~ member(pair(yp,sk1(yp)),trancl(r))
| ~ member(pair(sk1(yp),diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)) ),
inference(instantiation,[status(thm)],[c_483]) ).
tcf(c_693,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_691,c_557,c_547,c_498,c_497,c_456,c_457,c_82,c_79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : COL100-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/5.44 % Computer : n013.cluster.edu
% 0.16/5.44 % Model : x86_64 x86_64
% 0.16/5.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.44 % Memory : 8046.5625MB
% 0.16/5.44 % OS : Linux 6.8.0-71-generic
% 0.16/5.44 % CPULimit : 300
% 0.16/5.44 % WCLimit : 300
% 0.16/5.44 % DateTime : Fri Sep 25 07:34:26 UTC 2026
% 0.16/5.45 % CPUTime :
% 0.16/5.45 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.21/5.51 Running first-order theorem proving
% 0.21/5.51 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
% 0.21/5.53
% 0.21/5.53 % ======== iProver multi-core TPTP/SMT =========
% 0.21/5.53
% 0.21/5.53 % Detected problem language: tptp
% 0.21/5.55 % Proving...
% 15.18/8.08 % SZS status Started for theBenchmark.p
% 15.18/8.08 % SZS status Unsatisfiable for theBenchmark.p
% 15.18/8.08
% 15.18/8.08 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 15.18/8.08
% 15.18/8.08 % ------ iProver source info
% 15.18/8.08
% 15.18/8.08 % git: date: 2026-07-19 20:42:38 +0200
% 15.18/8.08 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 15.18/8.08 % git: non_committed_changes: false
% 15.18/8.08
% 15.18/8.08 % ------ Parsing...% successful
% 15.18/8.08
% 15.18/8.08
% 15.18/8.08 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 15.18/8.08
% 15.18/8.08 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e %
% 15.18/8.08
% 15.18/8.08 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 15.18/8.08
% 15.18/8.08 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 15.18/8.08 % ------ Proving...
% 15.18/8.08 % ------ Problem Properties
% 15.18/8.08
% 15.18/8.08 %
% 15.18/8.08 % clauses 15
% 15.18/8.08 % conjectures 2
% 15.18/8.08 % EPR 1
% 15.18/8.08 % Horn 15
% 15.18/8.08 % unary 6
% 15.18/8.08 % binary 6
% 15.18/8.08 % lits 27
% 15.18/8.08 % lits eq 7
% 15.18/8.08 % fd_pure 0
% 15.18/8.08 % fd_pseudo 0
% 15.18/8.08 % fd_cond 0
% 15.18/8.08 % fd_pseudo_cond 2
% 15.18/8.08 % AC symbols 0
% 15.18/8.08
% 15.18/8.08 % ------ Input Options Time Limit: Unbounded
% 15.18/8.08
% 15.18/8.08
% 15.18/8.08 % ------
% 15.18/8.08 % Current options:
% 15.18/8.08 % ------
% 15.18/8.08
% 15.18/8.08
% 15.18/8.08 %
% 15.18/8.08
% 15.18/8.08 % ------ Proving...
% 15.18/8.08 %
% 15.18/8.08
% 15.18/8.08 % SZS status Unsatisfiable for theBenchmark.p
% 15.18/8.08
% 15.18/8.08 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 15.18/8.08
% 15.18/8.08
%------------------------------------------------------------------------------