%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COL100-2 : 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 130.76s 32.52s
% Output : CNFRefutation 130.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 41 ( 9 unt; 0 def)
% Number of atoms : 101 ( 3 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 123 ( 63 ~; 60 |; 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 : 67 ( 0 sgn 67 !; 0 ?; 48 :)
% Comments :
%------------------------------------------------------------------------------
fof(f163,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(f164,axiom,
! [X0] : trans(trancl(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',trans_trancl) ).
fof(f165,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(f166,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(f167,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(f168,axiom,
diamond(r),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_2h1) ).
fof(f170,axiom,
member(pair(ya,z),r),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_2h3) ).
fof(f171,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(f172,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(f173,negated_conjecture,
member(pair(y,yp),trancl(r)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_2c1) ).
fof(f174,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_349,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(pair(X0,X1),trancl(X2))
| ~ member(pair(X0,X1),X2) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_350,plain,
! [X0: $i] : trans(trancl(X0)),
inference(cnf_transformation,[],[f164]) ).
tcf(c_351,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,[],[f165]) ).
tcf(c_352,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,[],[f166]) ).
tcf(c_353,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,[],[f167]) ).
tcf(c_354,plain,
diamond(r),
inference(cnf_transformation,[],[f168]) ).
tcf(c_356,plain,
member(pair(ya,z),r),
inference(cnf_transformation,[],[f170]) ).
tcf(c_357,plain,
! [X0: $i] :
( member(pair(ya,sk1(X0)),trancl(r))
| ~ member(pair(y,X0),trancl(r)) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_358,plain,
! [X0: $i] :
( member(pair(X0,sk1(X0)),trancl(r))
| ~ member(pair(y,X0),trancl(r)) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_359,negated_conjecture,
member(pair(y,yp),trancl(r)),
inference(cnf_transformation,[],[f173]) ).
tcf(c_360,negated_conjecture,
! [X0: $i] :
( ~ member(pair(yp,X0),trancl(r))
| ~ member(pair(z,X0),trancl(r)) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_1637,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_350,c_351]) ).
tcf(c_1638,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_1637]) ).
tcf(c_1651,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_353,c_354]) ).
tcf(c_1652,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_1651]) ).
tcf(c_1663,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_352,c_354]) ).
tcf(c_1664,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_1663]) ).
tcf(c_453373,plain,
( member(pair(ya,sk1(yp)),trancl(r))
| ~ member(pair(y,yp),trancl(r)) ),
inference(instantiation,[status(thm)],[c_357]) ).
tcf(c_453375,plain,
( member(pair(yp,sk1(yp)),trancl(r))
| ~ member(pair(y,yp),trancl(r)) ),
inference(instantiation,[status(thm)],[c_358]) ).
tcf(c_453393,plain,
! [X0: $i] :
( member(pair(X0,diamond_strip_lemmaD_sk1(ya,X0,z,r)),r)
| ~ member(pair(ya,z),r)
| ~ member(pair(ya,X0),trancl(r)) ),
inference(instantiation,[status(thm)],[c_1652]) ).
tcf(c_453399,plain,
! [X0: $i] :
( member(pair(z,diamond_strip_lemmaD_sk1(ya,X0,z,r)),trancl(r))
| ~ member(pair(ya,z),r)
| ~ member(pair(ya,X0),trancl(r)) ),
inference(instantiation,[status(thm)],[c_1664]) ).
tcf(c_453407,plain,
! [X0: $i,X1: $i] :
( member(pair(yp,X1),trancl(r))
| ~ member(pair(yp,X0),trancl(r))
| ~ member(pair(X0,X1),trancl(r)) ),
inference(instantiation,[status(thm)],[c_1638]) ).
tcf(c_453421,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_453407]) ).
tcf(c_453448,plain,
! [X0: $i] :
( member(pair(X0,diamond_strip_lemmaD_sk1(ya,X0,z,r)),trancl(r))
| ~ member(pair(X0,diamond_strip_lemmaD_sk1(ya,X0,z,r)),r) ),
inference(instantiation,[status(thm)],[c_349]) ).
tcf(c_453522,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_453393]) ).
tcf(c_453742,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_453399]) ).
tcf(c_453748,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_453448]) ).
tcf(c_454190,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_453421]) ).
tcf(c_455294,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_360]) ).
tcf(c_455295,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_455294,c_454190,c_453748,c_453742,c_453522,c_453375,c_453373,c_359,c_356]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL100-2 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/5.35 % Computer : n013.cluster.edu
% 0.08/5.35 % Model : x86_64 x86_64
% 0.08/5.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.35 % Memory : 8046.5625MB
% 0.08/5.35 % OS : Linux 6.8.0-71-generic
% 0.08/5.35 % CPULimit : 300
% 0.08/5.35 % WCLimit : 300
% 0.08/5.35 % DateTime : Fri Sep 25 07:34:43 UTC 2026
% 0.08/5.35 % CPUTime :
% 0.08/5.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/5.39 Running first-order theorem proving
% 0.08/5.39 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
% 0.11/5.40
% 0.11/5.40 % ======== iProver multi-core TPTP/SMT =========
% 0.11/5.40
% 0.11/5.40 % Detected problem language: tptp
% 0.11/5.42 % Proving...
% 130.76/32.52 % SZS status Started for theBenchmark.p
% 130.76/32.52 % SZS status Unsatisfiable for theBenchmark.p
% 130.76/32.52
% 130.76/32.52 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 130.76/32.52
% 130.76/32.52 % ------ iProver source info
% 130.76/32.52
% 130.76/32.52 % git: date: 2026-07-19 20:42:38 +0200
% 130.76/32.52 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 130.76/32.52 % git: non_committed_changes: false
% 130.76/32.52
% 130.76/32.52 % ------ Parsing...% successful
% 130.76/32.52
% 130.76/32.52
% 130.76/32.52 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 130.76/32.52
% 130.76/32.52 % ------ Preprocessing... sup_sim: 0 sf_s rm: 11 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe_e %
% 130.76/32.52
% 130.76/32.52 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 130.76/32.52
% 130.76/32.52 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 130.76/32.52 % ------ Proving...
% 130.76/32.52 % ------ Problem Properties
% 130.76/32.52
% 130.76/32.52 %
% 130.76/32.52 % clauses 130
% 130.76/32.52 % conjectures 2
% 130.76/32.52 % EPR 7
% 130.76/32.52 % Horn 106
% 130.76/32.52 % unary 17
% 130.76/32.52 % binary 75
% 130.76/32.53 % lits 283
% 130.76/32.53 % lits eq 50
% 130.76/32.53 % fd_pure 0
% 130.76/32.53 % fd_pseudo 0
% 130.76/32.53 % fd_cond 0
% 130.76/32.53 % fd_pseudo_cond 18
% 130.76/32.53 % AC symbols 0
% 130.76/32.53
% 130.76/32.53 % ------ Input Options Time Limit: Unbounded
% 130.76/32.53
% 130.76/32.53
% 130.76/32.53 % ------
% 130.76/32.53 % Current options:
% 130.76/32.53 % ------
% 130.76/32.53
% 130.76/32.53
% 130.76/32.53 %
% 130.76/32.53
% 130.76/32.53 % ------ Proving...
% 130.76/32.53 %
% 130.76/32.53
% 130.76/32.53 % ------ Proving...
% 130.76/32.53 %
% 130.76/32.53
% 130.76/32.53 % ------ Proving...
% 130.76/32.53 %
% 130.76/32.53
% 130.76/32.53 % ------ Proving...
% 130.76/32.53 %
% 130.76/32.53
% 130.76/32.53 % SZS status Unsatisfiable for theBenchmark.p
% 130.76/32.53
% 130.76/32.53 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 130.76/32.53
% 130.76/32.53
%------------------------------------------------------------------------------