%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COL088-1 : 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 01:02:48 PM UTC 2026
% Result : Unsatisfiable 4.08s 1.34s
% Output : CNFRefutation 4.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of formulae : 47 ( 19 unt; 4 def)
% Number of atoms : 137 ( 5 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 109 ( 56 ~; 53 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 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 : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 66 ( 0 sgn 66 !; 0 ?; 50 :)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1] :
( member(X1,comb)
| ~ member(comb_app(X0,X1),comb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_E2) ).
fof(f11,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(f12,axiom,
! [X0] :
( member(pair(X0,X0),rtrancl(contract))
| ~ member(X0,comb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reduction_refl) ).
fof(f37,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(f38,axiom,
! [X0] : trans(rtrancl(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',trans_rtrancl) ).
fof(f39,axiom,
! [X0,X1] :
( member(X1,comb)
| ~ member(pair(X0,X1),contract) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',contract_combD2) ).
fof(f42,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(f44,axiom,
member(r,comb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_reduce1_2h1) ).
fof(f47,axiom,
member(pair(y,z),contract),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_reduce1_2h4) ).
fof(f48,axiom,
member(pair(comb_app(p,r),comb_app(y,r)),rtrancl(contract)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_reduce1_2h5) ).
fof(f49,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_99,plain,
! [X0: $i,X1: $i] :
( member(X1,comb)
| ~ member(comb_app(X0,X1),comb) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i] :
( member(comb_app(X0,X1),comb)
| ~ member(X1,comb)
| ~ member(X0,comb) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_103,plain,
! [X0: $i] :
( member(pair(X0,X0),rtrancl(contract))
| ~ member(X0,comb) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_123,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,[],[f37]) ).
tcf(c_124,plain,
! [X0: $i] : trans(rtrancl(X0)),
inference(cnf_transformation,[],[f38]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i] :
( member(X1,comb)
| ~ member(pair(X0,X1),contract) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_128,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,[],[f42]) ).
tcf(c_130,plain,
member(r,comb),
inference(cnf_transformation,[],[f44]) ).
tcf(c_133,plain,
member(pair(y,z),contract),
inference(cnf_transformation,[],[f47]) ).
tcf(c_134,plain,
member(pair(comb_app(p,r),comb_app(y,r)),rtrancl(contract)),
inference(cnf_transformation,[],[f48]) ).
tcf(c_135,negated_conjecture,
~ member(pair(comb_app(p,r),comb_app(z,r)),rtrancl(contract)),
inference(cnf_transformation,[],[f49]) ).
tcf(c_502,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_123,c_124]) ).
tcf(c_503,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_502]) ).
tcf(c_1388,definition,
iPr_def_10 = comb_app(p,r),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_1389,definition,
iPr_def_11 = comb_app(z,r),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_1390,definition,
iPr_def_12 = pair(iPr_def_10,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_1391,definition,
iPr_def_13 = rtrancl(contract),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_1392,negated_conjecture,
~ member(iPr_def_12,iPr_def_13),
inference(demodulation,[status(thm)],[c_135,c_1391,c_1389,c_1388,c_1390]) ).
tcf(c_1830,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(pair(X2,X1),rtrancl(contract))
| ~ member(pair(X2,X0),iPr_def_13)
| ~ member(pair(X0,X1),rtrancl(contract)) ),
inference(superposition,[status(thm)],[c_1391,c_503]) ).
tcf(c_1831,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(pair(X2,X1),iPr_def_13)
| ~ member(pair(X2,X0),iPr_def_13)
| ~ member(pair(X0,X1),iPr_def_13) ),
inference(light_normalisation,[status(thm)],[c_1830,c_1391]) ).
tcf(c_1886,plain,
member(z,comb),
inference(superposition,[status(thm)],[c_133,c_125]) ).
tcf(c_1890,plain,
! [X0: $i] :
( member(pair(X0,X0),iPr_def_13)
| ~ member(X0,comb) ),
inference(light_normalisation,[status(thm)],[c_103,c_1391]) ).
tcf(c_1898,plain,
member(pair(iPr_def_10,comb_app(y,r)),iPr_def_13),
inference(light_normalisation,[status(thm)],[c_134,c_1388,c_1391]) ).
tcf(c_1991,plain,
( member(iPr_def_11,comb)
| ~ member(z,comb)
| ~ member(r,comb) ),
inference(superposition,[status(thm)],[c_1389,c_102]) ).
tcf(c_1994,plain,
member(iPr_def_11,comb),
inference(forward_subsumption_resolution,[status(thm)],[c_1991,c_1886,c_130]) ).
tcf(c_2385,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(pair(comb_app(X3,X1),X2),iPr_def_13)
| ~ member(X1,comb)
| ~ member(pair(X3,X0),contract)
| ~ member(pair(comb_app(X0,X1),X2),iPr_def_13) ),
inference(light_normalisation,[status(thm)],[c_128,c_1391]) ).
tcf(c_2398,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(pair(comb_app(X2,X1),comb_app(X0,X1)),iPr_def_13)
| ~ member(X1,comb)
| ~ member(pair(X2,X0),contract)
| ~ member(comb_app(X0,X1),comb) ),
inference(superposition,[status(thm)],[c_1890,c_2385]) ).
tcf(c_3817,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(pair(comb_app(X2,X1),comb_app(X0,X1)),iPr_def_13)
| ~ member(comb_app(X0,X1),comb)
| ~ member(pair(X2,X0),contract) ),
inference(global_subsumption_just,[status(thm)],[c_2398,c_99,c_2398]) ).
tcf(c_3818,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(pair(comb_app(X2,X1),comb_app(X0,X1)),iPr_def_13)
| ~ member(pair(X2,X0),contract)
| ~ member(comb_app(X0,X1),comb) ),
inference(renaming,[status(thm)],[c_3817]) ).
tcf(c_3829,plain,
! [X0: $i] :
( member(pair(comb_app(X0,r),iPr_def_11),iPr_def_13)
| ~ member(comb_app(z,r),comb)
| ~ member(pair(X0,z),contract) ),
inference(superposition,[status(thm)],[c_1389,c_3818]) ).
tcf(c_3838,plain,
! [X0: $i] :
( member(pair(comb_app(X0,r),iPr_def_11),iPr_def_13)
| ~ member(iPr_def_11,comb)
| ~ member(pair(X0,z),contract) ),
inference(light_normalisation,[status(thm)],[c_3829,c_1389]) ).
tcf(c_3839,plain,
! [X0: $i] :
( member(pair(comb_app(X0,r),iPr_def_11),iPr_def_13)
| ~ member(pair(X0,z),contract) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3838,c_1994]) ).
tcf(c_3968,plain,
! [X0: $i,X1: $i] :
( member(pair(X0,iPr_def_11),iPr_def_13)
| ~ member(pair(X1,z),contract)
| ~ member(pair(X0,comb_app(X1,r)),iPr_def_13) ),
inference(superposition,[status(thm)],[c_3839,c_1831]) ).
tcf(c_4182,plain,
( member(pair(iPr_def_10,iPr_def_11),iPr_def_13)
| ~ member(pair(y,z),contract) ),
inference(superposition,[status(thm)],[c_1898,c_3968]) ).
tcf(c_4202,plain,
( member(iPr_def_12,iPr_def_13)
| ~ member(pair(y,z),contract) ),
inference(light_normalisation,[status(thm)],[c_4182,c_1390]) ).
tcf(c_4203,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4202,c_1392,c_133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL088-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.43 % Computer : n013.cluster.edu
% 0.09/0.43 % Model : x86_64 x86_64
% 0.09/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.43 % Memory : 8046.5625MB
% 0.09/0.43 % OS : Linux 6.8.0-71-generic
% 0.09/0.43 % CPULimit : 300
% 0.09/0.43 % WCLimit : 300
% 0.09/0.43 % DateTime : Fri Sep 25 07:31:06 UTC 2026
% 0.09/0.43 % CPUTime :
% 0.09/0.43 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.46 Running first-order theorem proving
% 0.13/0.46 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
% 0.13/0.48
% 0.13/0.48 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.48
% 0.13/0.48 % Detected problem language: tptp
% 0.13/0.49 % Proving...
% 4.08/1.34 % SZS status Started for theBenchmark.p
% 4.08/1.34 % SZS status Unsatisfiable for theBenchmark.p
% 4.08/1.34
% 4.08/1.34 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.08/1.34
% 4.08/1.34 % ------ iProver source info
% 4.08/1.34
% 4.08/1.34 % git: date: 2026-07-19 20:42:38 +0200
% 4.08/1.34 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.08/1.34 % git: non_committed_changes: false
% 4.08/1.34
% 4.08/1.34 % ------ Parsing...% successful
% 4.08/1.34
% 4.08/1.34
% 4.08/1.34 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.08/1.34
% 4.08/1.34 % ------ 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: 2 0s sf_e pe_s pe_e %
% 4.08/1.34
% 4.08/1.34 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.08/1.34
% 4.08/1.34 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.08/1.34 % ------ Proving...
% 4.08/1.34 % ------ Problem Properties
% 4.08/1.34
% 4.08/1.34 %
% 4.08/1.34 % clauses 44
% 4.08/1.34 % conjectures 1
% 4.08/1.34 % EPR 9
% 4.08/1.34 % Horn 42
% 4.08/1.34 % unary 17
% 4.08/1.34 % binary 17
% 4.08/1.34 % lits 89
% 4.08/1.34 % lits eq 16
% 4.08/1.34 % fd_pure 0
% 4.08/1.34 % fd_pseudo 0
% 4.08/1.34 % fd_cond 0
% 4.08/1.34 % fd_pseudo_cond 3
% 4.08/1.34 % AC symbols 0
% 4.08/1.34
% 4.08/1.34 % ------ Schedule dynamic 5 is on
% 4.08/1.34
% 4.08/1.34 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.08/1.34
% 4.08/1.34
% 4.08/1.34 % ------
% 4.08/1.34 % Current options:
% 4.08/1.34 % ------
% 4.08/1.34
% 4.08/1.34
% 4.08/1.34 %
% 4.08/1.34
% 4.08/1.34 % ------ Proving...
% 4.08/1.34 %
% 4.08/1.34
% 4.08/1.34 % SZS status Unsatisfiable for theBenchmark.p
% 4.08/1.34
% 4.08/1.34 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.08/1.35
% 4.08/1.35
%------------------------------------------------------------------------------