%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COL099-2 : 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 : n016.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 3.65s 1.20s
% Output : CNFRefutation 3.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 8 unt; 0 def)
% Number of atoms : 54 ( 2 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 68 ( 37 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 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 : 7 ( 7 usr; 4 con; 0-4 aty)
% Number of variables : 43 ( 0 sgn 43 !; 0 ?; 31 :)
% 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(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_1h1) ).
fof(f169,axiom,
member(pair(y,ya),r),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_1h2) ).
fof(f170,negated_conjecture,
member(pair(y,yp),trancl(r)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_1c1) ).
fof(f171,negated_conjecture,
! [X0] :
( ~ member(pair(yp,X0),trancl(r))
| ~ member(pair(ya,X0),trancl(r)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_1c2) ).
tcf(c_206,plain,
diamond(r),
inference(cnf_transformation,[],[f168]) ).
tcf(c_207,plain,
member(pair(y,ya),r),
inference(cnf_transformation,[],[f169]) ).
tcf(c_208,negated_conjecture,
member(pair(y,yp),trancl(r)),
inference(cnf_transformation,[],[f170]) ).
tcf(c_209,negated_conjecture,
! [X0: $i] :
( ~ member(pair(yp,X0),trancl(r))
| ~ member(pair(ya,X0),trancl(r)) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_210,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_211,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_216,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(pair(X0,X1),trancl(X2))
| ~ member(pair(X0,X1),X2) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_302,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_210,c_206]) ).
tcf(c_303,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_302]) ).
tcf(c_314,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_211,c_206]) ).
tcf(c_315,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_314]) ).
tcf(c_596,plain,
! [X0: $i,X1: $i] :
( ~ member(pair(X0,ya),r)
| ~ member(pair(X0,X1),trancl(r))
| ~ member(pair(yp,diamond_strip_lemmaD_sk1(X0,X1,ya,r)),trancl(r)) ),
inference(superposition,[status(thm)],[c_315,c_209]) ).
tcf(c_612,plain,
! [X0: $i,X1: $i] :
( ~ member(pair(X0,ya),r)
| ~ member(pair(X0,X1),trancl(r))
| ~ member(pair(yp,diamond_strip_lemmaD_sk1(X0,X1,ya,r)),r) ),
inference(superposition,[status(thm)],[c_216,c_596]) ).
tcf(c_652,plain,
! [X0: $i] :
( ~ member(pair(X0,ya),r)
| ~ member(pair(X0,yp),trancl(r)) ),
inference(superposition,[status(thm)],[c_303,c_612]) ).
tcf(c_661,plain,
~ member(pair(y,ya),r),
inference(superposition,[status(thm)],[c_208,c_652]) ).
tcf(c_662,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_661,c_207]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL099-2 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n016.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 25 07:39:43 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 0.11/0.41
% 0.11/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.41
% 0.11/0.41 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 3.65/1.20 % SZS status Started for theBenchmark.p
% 3.65/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 3.65/1.20
% 3.65/1.20 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.65/1.20
% 3.65/1.20 % ------ iProver source info
% 3.65/1.20
% 3.65/1.20 % git: date: 2026-07-19 20:42:38 +0200
% 3.65/1.20 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.65/1.20 % git: non_committed_changes: false
% 3.65/1.20
% 3.65/1.20 % ------ Parsing...% successful
% 3.65/1.20
% 3.65/1.20
% 3.65/1.20 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.65/1.20
% 3.65/1.20 % ------ 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 %
% 3.65/1.20
% 3.65/1.20 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.65/1.20
% 3.65/1.20 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.65/1.20 % ------ Proving...
% 3.65/1.20 % ------ Problem Properties
% 3.65/1.20
% 3.65/1.20 %
% 3.65/1.20 % clauses 10
% 3.65/1.20 % conjectures 2
% 3.65/1.20 % EPR 0
% 3.65/1.20 % Horn 10
% 3.65/1.20 % unary 4
% 3.65/1.20 % binary 4
% 3.65/1.20 % lits 18
% 3.65/1.20 % lits eq 6
% 3.65/1.20 % fd_pure 0
% 3.65/1.20 % fd_pseudo 0
% 3.65/1.20 % fd_cond 0
% 3.65/1.20 % fd_pseudo_cond 2
% 3.65/1.20 % AC symbols 0
% 3.65/1.20
% 3.65/1.20 % ------ Schedule dynamic 5 is on
% 3.65/1.20
% 3.65/1.20 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.65/1.20
% 3.65/1.20
% 3.65/1.20 % ------
% 3.65/1.20 % Current options:
% 3.65/1.20 % ------
% 3.65/1.20
% 3.65/1.20
% 3.65/1.20 %
% 3.65/1.20
% 3.65/1.20 % ------ Proving...
% 3.65/1.20 %
% 3.65/1.20
% 3.65/1.20 % SZS status Unsatisfiable for theBenchmark.p
% 3.65/1.20
% 3.65/1.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.65/1.20
% 3.65/1.20
%------------------------------------------------------------------------------