%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COL098-1 : 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 : n007.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 1.68s 1.75s
% Output : CNFRefutation 1.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 7 unt; 0 def)
% Number of atoms : 76 ( 1 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 89 ( 46 ~; 43 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 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 : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 46 ( 0 sgn 46 !; 0 ?; 29 :)
% 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,X0,X1] :
( member(pair(X1,sk1(X0,X1,X2)),r)
| ~ member(pair(X0,X2),r)
| ~ member(pair(X0,X1),r) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h1) ).
fof(f11,axiom,
! [X2,X0,X1] :
( member(pair(X2,sk1(X0,X1,X2)),r)
| ~ member(pair(X0,X2),r)
| ~ member(pair(X0,X1),r) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h2) ).
fof(f13,axiom,
member(pair(y,z),r),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h4) ).
fof(f14,axiom,
! [X0] :
( member(pair(X0,sk2(X0)),trancl(r))
| ~ member(pair(x,X0),r) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h5) ).
fof(f15,axiom,
! [X0] :
( member(pair(y,sk2(X0)),r)
| ~ member(pair(x,X0),r) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h6) ).
fof(f16,negated_conjecture,
member(pair(x,sk3),r),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD_2c1) ).
fof(f17,negated_conjecture,
! [X0] :
( ~ member(pair(z,X0),r)
| ~ member(pair(sk3,X0),trancl(r)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD_2c2) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(pair(X0,X1),trancl(X2))
| ~ member(pair(X0,X1),X2) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_72,plain,
! [X0: $i] : trans(trancl(X0)),
inference(cnf_transformation,[],[f8]) ).
tcf(c_73,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_74,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(pair(X1,sk1(X0,X1,X2)),r)
| ~ member(pair(X0,X2),r)
| ~ member(pair(X0,X1),r) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(pair(X2,sk1(X0,X1,X2)),r)
| ~ member(pair(X0,X2),r)
| ~ member(pair(X0,X1),r) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_77,plain,
member(pair(y,z),r),
inference(cnf_transformation,[],[f13]) ).
tcf(c_78,plain,
! [X0: $i] :
( member(pair(X0,sk2(X0)),trancl(r))
| ~ member(pair(x,X0),r) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_79,plain,
! [X0: $i] :
( member(pair(y,sk2(X0)),r)
| ~ member(pair(x,X0),r) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_80,negated_conjecture,
member(pair(x,sk3),r),
inference(cnf_transformation,[],[f16]) ).
tcf(c_81,negated_conjecture,
! [X0: $i] :
( ~ member(pair(z,X0),r)
| ~ member(pair(sk3,X0),trancl(r)) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_156,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_72,c_73]) ).
tcf(c_157,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_156]) ).
tcf(c_432,plain,
( member(pair(y,sk2(sk3)),r)
| ~ member(pair(x,sk3),r) ),
inference(instantiation,[status(thm)],[c_79]) ).
tcf(c_436,plain,
( member(pair(sk3,sk2(sk3)),trancl(r))
| ~ member(pair(x,sk3),r) ),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_467,plain,
! [X0: $i] :
( member(pair(X0,sk1(y,X0,z)),r)
| ~ member(pair(y,z),r)
| ~ member(pair(y,X0),r) ),
inference(instantiation,[status(thm)],[c_74]) ).
tcf(c_474,plain,
! [X0: $i] :
( member(pair(z,sk1(y,X0,z)),r)
| ~ member(pair(y,z),r)
| ~ member(pair(y,X0),r) ),
inference(instantiation,[status(thm)],[c_75]) ).
tcf(c_743,plain,
( member(pair(z,sk1(y,sk2(sk3),z)),r)
| ~ member(pair(y,z),r)
| ~ member(pair(y,sk2(sk3)),r) ),
inference(instantiation,[status(thm)],[c_474]) ).
tcf(c_755,plain,
( member(pair(sk2(sk3),sk1(y,sk2(sk3),z)),r)
| ~ member(pair(y,z),r)
| ~ member(pair(y,sk2(sk3)),r) ),
inference(instantiation,[status(thm)],[c_467]) ).
tcf(c_1018,plain,
( ~ member(pair(z,sk1(y,sk2(sk3),z)),r)
| ~ member(pair(sk3,sk1(y,sk2(sk3),z)),trancl(r)) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_1043,plain,
( member(pair(sk2(sk3),sk1(y,sk2(sk3),z)),trancl(r))
| ~ member(pair(sk2(sk3),sk1(y,sk2(sk3),z)),r) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_2281,plain,
! [X0: $i] :
( member(pair(X0,sk1(y,sk2(sk3),z)),trancl(r))
| ~ member(pair(X0,sk2(sk3)),trancl(r))
| ~ member(pair(sk2(sk3),sk1(y,sk2(sk3),z)),trancl(r)) ),
inference(instantiation,[status(thm)],[c_157]) ).
tcf(c_7503,plain,
( member(pair(sk3,sk1(y,sk2(sk3),z)),trancl(r))
| ~ member(pair(sk3,sk2(sk3)),trancl(r))
| ~ member(pair(sk2(sk3),sk1(y,sk2(sk3),z)),trancl(r)) ),
inference(instantiation,[status(thm)],[c_2281]) ).
tcf(c_7504,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_7503,c_1043,c_1018,c_755,c_743,c_436,c_432,c_77,c_80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL098-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.36 % Computer : n007.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Fri Sep 25 07:32:23 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.41 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
% 0.12/0.42
% 0.12/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.42
% 0.12/0.42 % Detected problem language: tptp
% 0.12/0.43 % Proving...
% 1.68/1.75 % SZS status Started for theBenchmark.p
% 1.68/1.75 % SZS status Unsatisfiable for theBenchmark.p
% 1.68/1.75
% 1.68/1.75 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.68/1.75
% 1.68/1.75 % ------ iProver source info
% 1.68/1.75
% 1.68/1.75 % git: date: 2026-07-19 20:42:38 +0200
% 1.68/1.75 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.68/1.75 % git: non_committed_changes: false
% 1.68/1.75
% 1.68/1.75 % ------ Parsing...% successful
% 1.68/1.75
% 1.68/1.75
% 1.68/1.75 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.68/1.75
% 1.68/1.75 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 1.68/1.75
% 1.68/1.75 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.68/1.75
% 1.68/1.75 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.68/1.75 % ------ Proving...
% 1.68/1.75 % ------ Problem Properties
% 1.68/1.75
% 1.68/1.75 %
% 1.68/1.75 % clauses 15
% 1.68/1.75 % conjectures 2
% 1.68/1.75 % EPR 1
% 1.68/1.75 % Horn 15
% 1.68/1.75 % unary 6
% 1.68/1.75 % binary 6
% 1.68/1.75 % lits 27
% 1.68/1.75 % lits eq 7
% 1.68/1.75 % fd_pure 0
% 1.68/1.75 % fd_pseudo 0
% 1.68/1.75 % fd_cond 0
% 1.68/1.75 % fd_pseudo_cond 2
% 1.68/1.75 % AC symbols 0
% 1.68/1.75
% 1.68/1.75 % ------ Input Options Time Limit: Unbounded
% 1.68/1.75
% 1.68/1.75
% 1.68/1.75 % ------
% 1.68/1.75 % Current options:
% 1.68/1.75 % ------
% 1.68/1.75
% 1.68/1.75
% 1.68/1.75 %
% 1.68/1.75
% 1.68/1.75 % ------ Proving...
% 1.68/1.75 %
% 1.68/1.75
% 1.68/1.75 % SZS status Unsatisfiable for theBenchmark.p
% 1.68/1.75
% 1.68/1.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.68/1.75
% 1.68/1.75
%------------------------------------------------------------------------------