%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COL088-2 : 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 : n005.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 01:02:49 PM UTC 2026
% Result : Unsatisfiable 164.90s 23.00s
% Output : CNFRefutation 164.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 12 unt; 0 def)
% Number of atoms : 83 ( 1 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 99 ( 51 ~; 48 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 50 ( 0 sgn 50 !; 0 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
fof(f167,axiom,
! [X0,X1] :
( member(comb_app(X0,X1),comb)
| ~ member(X1,comb)
| ~ member(X0,comb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',comb_intros3) ).
fof(f168,axiom,
! [X0] :
( member(pair(X0,X0),rtrancl(contract))
| ~ member(X0,comb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reduction_refl) ).
fof(f193,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(f194,axiom,
! [X0] : trans(rtrancl(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',trans_rtrancl) ).
fof(f195,axiom,
! [X0,X1] :
( member(X1,comb)
| ~ member(pair(X0,X1),contract) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',contract_combD2) ).
fof(f198,axiom,
! [X2,X3,X0,X1] :
( member(pair(comb_app(X0,X2),X3),rtrancl(contract))
| ~ member(pair(comb_app(X1,X2),X3),rtrancl(contract))
| ~ member(X2,comb)
| ~ member(pair(X0,X1),contract) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reduction_rls_3) ).
fof(f200,axiom,
member(r,comb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_reduce1_2h1) ).
fof(f203,axiom,
member(pair(y,z),contract),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_reduce1_2h4) ).
fof(f204,axiom,
member(pair(comb_app(p,r),comb_app(y,r)),rtrancl(contract)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_reduce1_2h5) ).
fof(f205,negated_conjecture,
~ member(pair(comb_app(p,r),comb_app(z,r)),rtrancl(contract)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_reduce1_2c1) ).
tcf(c_379,plain,
! [X0: $i,X1: $i] :
( member(comb_app(X1,X0),comb)
| ~ member(X1,comb)
| ~ member(X0,comb) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_380,plain,
! [X0: $i] :
( member(pair(X0,X0),rtrancl(contract))
| ~ member(X0,comb) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_400,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,[],[f193]) ).
tcf(c_401,plain,
! [X0: $i] : trans(rtrancl(X0)),
inference(cnf_transformation,[],[f194]) ).
tcf(c_402,plain,
! [X0: $i,X1: $i] :
( member(X1,comb)
| ~ member(pair(X0,X1),contract) ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_405,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(pair(comb_app(X3,X1),X2),rtrancl(contract))
| ~ member(X1,comb)
| ~ member(pair(X3,X0),contract)
| ~ member(pair(comb_app(X0,X1),X2),rtrancl(contract)) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_407,plain,
member(r,comb),
inference(cnf_transformation,[],[f200]) ).
tcf(c_410,plain,
member(pair(y,z),contract),
inference(cnf_transformation,[],[f203]) ).
tcf(c_411,plain,
member(pair(comb_app(p,r),comb_app(y,r)),rtrancl(contract)),
inference(cnf_transformation,[],[f204]) ).
tcf(c_412,negated_conjecture,
~ member(pair(comb_app(p,r),comb_app(z,r)),rtrancl(contract)),
inference(cnf_transformation,[],[f205]) ).
tcf(c_1927,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)
| ( rtrancl(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_400,c_401]) ).
tcf(c_1928,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(pair(X0,X3),rtrancl(X2))
| ~ member(pair(X1,X3),rtrancl(X2))
| ~ member(pair(X0,X1),rtrancl(X2)) ),
inference(unflattening,[status(thm)],[c_1927]) ).
tcf(c_6576,plain,
! [X0: $i] :
( member(pair(comb_app(p,r),X0),rtrancl(contract))
| ~ member(pair(comb_app(y,r),X0),rtrancl(contract)) ),
inference(superposition,[status(thm)],[c_411,c_1928]) ).
tcf(c_6593,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(pair(comb_app(X0,X2),comb_app(X1,X2)),rtrancl(contract))
| ~ member(X2,comb)
| ~ member(comb_app(X1,X2),comb)
| ~ member(pair(X0,X1),contract) ),
inference(superposition,[status(thm)],[c_380,c_405]) ).
tcf(c_6698,plain,
! [X0: $i] :
( member(pair(comb_app(p,r),comb_app(X0,r)),rtrancl(contract))
| ~ member(r,comb)
| ~ member(comb_app(X0,r),comb)
| ~ member(pair(y,X0),contract) ),
inference(superposition,[status(thm)],[c_6593,c_6576]) ).
tcf(c_6943,plain,
member(z,comb),
inference(superposition,[status(thm)],[c_410,c_402]) ).
tcf(c_6956,plain,
! [X0: $i] :
( member(pair(comb_app(p,r),X0),rtrancl(contract))
| ~ member(pair(comb_app(y,r),X0),rtrancl(contract)) ),
inference(superposition,[status(thm)],[c_411,c_1928]) ).
tcf(c_6965,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(pair(comb_app(X0,X2),comb_app(X1,X2)),rtrancl(contract))
| ~ member(X2,comb)
| ~ member(comb_app(X1,X2),comb)
| ~ member(pair(X0,X1),contract) ),
inference(superposition,[status(thm)],[c_380,c_405]) ).
tcf(c_6993,plain,
! [X0: $i] :
( member(comb_app(z,X0),comb)
| ~ member(z,comb)
| ~ member(X0,comb) ),
inference(instantiation,[status(thm)],[c_379]) ).
tcf(c_7050,plain,
! [X0: $i] :
( member(pair(comb_app(p,r),comb_app(X0,r)),rtrancl(contract))
| ~ member(r,comb)
| ~ member(comb_app(X0,r),comb)
| ~ member(pair(y,X0),contract) ),
inference(superposition,[status(thm)],[c_6965,c_6956]) ).
tcf(c_7289,plain,
( member(comb_app(z,r),comb)
| ~ member(z,comb)
| ~ member(r,comb) ),
inference(instantiation,[status(thm)],[c_6993]) ).
tcf(c_7404,plain,
! [X0: $i] :
( member(pair(comb_app(p,r),comb_app(X0,r)),rtrancl(contract))
| ~ member(pair(y,X0),contract)
| ~ member(comb_app(X0,r),comb) ),
inference(global_subsumption_just,[status(thm)],[c_7050,c_407,c_6698]) ).
tcf(c_7405,plain,
! [X0: $i] :
( member(pair(comb_app(p,r),comb_app(X0,r)),rtrancl(contract))
| ~ member(comb_app(X0,r),comb)
| ~ member(pair(y,X0),contract) ),
inference(renaming,[status(thm)],[c_7404]) ).
tcf(c_7409,plain,
( ~ member(comb_app(z,r),comb)
| ~ member(pair(y,z),contract) ),
inference(superposition,[status(thm)],[c_7405,c_412]) ).
tcf(c_7411,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_7409,c_7289,c_6943,c_410,c_407]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL088-2 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 07:31:33 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 164.90/23.00 % SZS status Started for theBenchmark.p
% 164.90/23.00 % SZS status Unsatisfiable for theBenchmark.p
% 164.90/23.00
% 164.90/23.00 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 164.90/23.00
% 164.90/23.00 % ------ iProver source info
% 164.90/23.00
% 164.90/23.00 % git: date: 2026-07-19 20:42:38 +0200
% 164.90/23.00 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 164.90/23.00 % git: non_committed_changes: false
% 164.90/23.00
% 164.90/23.00 % ------ Parsing...% successful
% 164.90/23.00
% 164.90/23.00
% 164.90/23.00 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 164.90/23.00
% 164.90/23.00 % ------ 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: 4 0s sf_e pe_s pe_e %
% 164.90/23.00
% 164.90/23.00 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 164.90/23.00
% 164.90/23.00 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 164.90/23.00 % ------ Proving...
% 164.90/23.00 % ------ Problem Properties
% 164.90/23.00
% 164.90/23.00 %
% 164.90/23.00 % clauses 155
% 164.90/23.00 % conjectures 1
% 164.90/23.00 % EPR 14
% 164.90/23.00 % Horn 129
% 164.90/23.00 % unary 24
% 164.90/23.00 % binary 86
% 164.90/23.00 % lits 341
% 164.90/23.00 % lits eq 55
% 164.90/23.00 % fd_pure 0
% 164.90/23.00 % fd_pseudo 0
% 164.90/23.00 % fd_cond 0
% 164.90/23.00 % fd_pseudo_cond 19
% 164.90/23.00 % AC symbols 0
% 164.90/23.00
% 164.90/23.00 % ------ Input Options Time Limit: Unbounded
% 164.90/23.00
% 164.90/23.00
% 164.90/23.00 % ------
% 164.90/23.00 % Current options:
% 164.90/23.00 % ------
% 164.90/23.00
% 164.90/23.00
% 164.90/23.00 %
% 164.90/23.00
% 164.90/23.00 % ------ Proving...
% 164.90/23.00 %
% 164.90/23.00
% 164.90/23.00 % ------ Proving...
% 164.90/23.00 %
% 164.90/23.00
% 164.90/23.00 % SZS status Unsatisfiable for theBenchmark.p
% 164.90/23.00
% 164.90/23.00 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 164.90/23.01
% 164.90/23.01
%------------------------------------------------------------------------------