%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COL090-3 : 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 : n009.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 0.96s 1.29s
% Output : CNFRefutation 0.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of formulae : 49 ( 20 unt; 3 def)
% Number of atoms : 146 ( 28 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 84 ( 35 ~; 49 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 72 ( 0 sgn 72 !; 0 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
combK != combS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_s) ).
fof(f3,axiom,
! [X0,X1] : combS != comb_app(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_app) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( X0 = X2
| comb_app(X0,X1) != comb_app(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',app_app1) ).
fof(f7,axiom,
! [X2,X0,X1] :
( ap_contractE_c4(X0,X1,X2)
| ap_contractE_c3(X0,X1,X2)
| ap_contractE_c2(X0,X1,X2)
| ap_contractE_c1(X0,X1,X2)
| ~ member(pair(comb_app(X0,X1),X2),contract) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_contractE1) ).
fof(f10,axiom,
! [X2,X0,X1] :
( X0 = comb_app(combK,X2)
| ~ ap_contractE_c1(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_contractE4) ).
fof(f11,plain,
! [X2,X0,X1] :
( comb_app(combK,X2) = X0
| ~ ap_contractE_c1(X0,X1,X2) ),
inference(reorient_equations,[],[f10]) ).
fof(f17,axiom,
! [X2,X0,X1] :
( X0 = comb_app(comb_app(combS,ap_contractE_sk1p(X0,X1,X2)),ap_contractE_sk1q(X0,X1,X2))
| ~ ap_contractE_c2(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_contractE9) ).
fof(f18,plain,
! [X2,X0,X1] :
( comb_app(comb_app(combS,ap_contractE_sk1p(X0,X1,X2)),ap_contractE_sk1q(X0,X1,X2)) = X0
| ~ ap_contractE_c2(X0,X1,X2) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,axiom,
! [X2,X0,X1] :
( member(pair(X0,ap_contractE_sk2q(X0,X1,X2)),contract)
| ~ ap_contractE_c3(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_contractE10) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(pair(X1,ap_contractE_sk3q(X0,X1,X2)),contract)
| ~ ap_contractE_c4(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_contractE13) ).
fof(f27,axiom,
! [X0] : ~ member(pair(combK,X0),contract),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_contractE) ).
fof(f28,axiom,
! [X0] : ~ member(pair(combS,X0),contract),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_contractE) ).
fof(f29,negated_conjecture,
member(pair(comb_app(comb_app(combS,combK),combK),r),contract),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_contract_E) ).
tcf(c_73,plain,
combK != combS,
inference(cnf_transformation,[],[f1]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] : comb_app(X0,X1) != combS,
inference(cnf_transformation,[],[f3]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ( comb_app(X0,X1) != comb_app(X2,X3) ) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i] :
( ap_contractE_c4(X0,X1,X2)
| ap_contractE_c3(X0,X1,X2)
| ap_contractE_c2(X0,X1,X2)
| ap_contractE_c1(X0,X1,X2)
| ~ member(pair(comb_app(X0,X1),X2),contract) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( comb_app(combK,X2) = X0 )
| ~ ap_contractE_c1(X0,X1,X2) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( comb_app(comb_app(combS,ap_contractE_sk1p(X0,X1,X2)),ap_contractE_sk1q(X0,X1,X2)) = X0 )
| ~ ap_contractE_c2(X0,X1,X2) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(pair(X0,ap_contractE_sk2q(X0,X1,X2)),contract)
| ~ ap_contractE_c3(X0,X1,X2) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i] :
( member(pair(X1,ap_contractE_sk3q(X0,X1,X2)),contract)
| ~ ap_contractE_c4(X0,X1,X2) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_93,plain,
! [X0: $i] : ~ member(pair(combK,X0),contract),
inference(cnf_transformation,[],[f27]) ).
tcf(c_94,plain,
! [X0: $i] : ~ member(pair(combS,X0),contract),
inference(cnf_transformation,[],[f28]) ).
tcf(c_95,negated_conjecture,
member(pair(comb_app(comb_app(combS,combK),combK),r),contract),
inference(cnf_transformation,[],[f29]) ).
tcf(c_1102,definition,
iPr_def_10 = comb_app(combS,combK),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_1103,definition,
iPr_def_11 = comb_app(iPr_def_10,combK),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_1104,definition,
iPr_def_12 = pair(iPr_def_11,r),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_1105,negated_conjecture,
member(iPr_def_12,contract),
inference(demodulation,[status(thm)],[c_95,c_1102,c_1103,c_1104]) ).
tcf(c_1398,plain,
! [X0: $i,X1: $i] :
( ( X0 = combS )
| ( comb_app(X0,X1) != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_1102,c_76]) ).
tcf(c_1440,plain,
! [X0: $i,X1: $i] : ~ ap_contractE_c3(combS,X0,X1),
inference(superposition,[status(thm)],[c_87,c_94]) ).
tcf(c_1447,plain,
! [X0: $i,X1: $i] : ~ ap_contractE_c4(X0,combK,X1),
inference(superposition,[status(thm)],[c_90,c_93]) ).
tcf(c_1491,plain,
! [X0: $i] :
( ap_contractE_c4(combS,combK,X0)
| ap_contractE_c3(combS,combK,X0)
| ap_contractE_c2(combS,combK,X0)
| ap_contractE_c1(combS,combK,X0)
| ~ member(pair(iPr_def_10,X0),contract) ),
inference(superposition,[status(thm)],[c_1102,c_78]) ).
tcf(c_1492,plain,
! [X0: $i] :
( ap_contractE_c4(iPr_def_10,combK,X0)
| ap_contractE_c3(iPr_def_10,combK,X0)
| ap_contractE_c2(iPr_def_10,combK,X0)
| ap_contractE_c1(iPr_def_10,combK,X0)
| ~ member(pair(iPr_def_11,X0),contract) ),
inference(superposition,[status(thm)],[c_1103,c_78]) ).
tcf(c_1493,plain,
! [X0: $i] :
( ap_contractE_c3(iPr_def_10,combK,X0)
| ap_contractE_c2(iPr_def_10,combK,X0)
| ap_contractE_c1(iPr_def_10,combK,X0)
| ~ member(pair(iPr_def_11,X0),contract) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1492,c_1447]) ).
tcf(c_1498,plain,
! [X0: $i] :
( ap_contractE_c2(combS,combK,X0)
| ap_contractE_c1(combS,combK,X0)
| ~ member(pair(iPr_def_10,X0),contract) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1491,c_1447,c_1440]) ).
tcf(c_1522,plain,
! [X0: $i,X1: $i] :
( ap_contractE_c2(combS,combK,ap_contractE_sk2q(iPr_def_10,X0,X1))
| ap_contractE_c1(combS,combK,ap_contractE_sk2q(iPr_def_10,X0,X1))
| ~ ap_contractE_c3(iPr_def_10,X0,X1) ),
inference(superposition,[status(thm)],[c_87,c_1498]) ).
tcf(c_1542,plain,
( ap_contractE_c3(iPr_def_10,combK,r)
| ap_contractE_c2(iPr_def_10,combK,r)
| ap_contractE_c1(iPr_def_10,combK,r)
| ~ member(iPr_def_12,contract) ),
inference(superposition,[status(thm)],[c_1104,c_1493]) ).
tcf(c_1543,plain,
( ap_contractE_c3(iPr_def_10,combK,r)
| ap_contractE_c2(iPr_def_10,combK,r)
| ap_contractE_c1(iPr_def_10,combK,r) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1542,c_1105]) ).
tcf(c_1617,plain,
! [X0: $i,X1: $i] :
( ap_contractE_c2(combS,combK,ap_contractE_sk2q(iPr_def_10,X0,X1))
| ( comb_app(combK,ap_contractE_sk2q(iPr_def_10,X0,X1)) = combS )
| ~ ap_contractE_c3(iPr_def_10,X0,X1) ),
inference(superposition,[status(thm)],[c_1522,c_81]) ).
tcf(c_1623,plain,
! [X0: $i,X1: $i] :
( ap_contractE_c2(combS,combK,ap_contractE_sk2q(iPr_def_10,X0,X1))
| ~ ap_contractE_c3(iPr_def_10,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1617,c_75]) ).
tcf(c_1634,plain,
! [X0: $i,X1: $i] :
( ( comb_app(comb_app(combS,ap_contractE_sk1p(combS,combK,ap_contractE_sk2q(iPr_def_10,X0,X1))),ap_contractE_sk1q(combS,combK,ap_contractE_sk2q(iPr_def_10,X0,X1))) = combS )
| ~ ap_contractE_c3(iPr_def_10,X0,X1) ),
inference(superposition,[status(thm)],[c_1623,c_86]) ).
tcf(c_1636,plain,
! [X0: $i,X1: $i] : ~ ap_contractE_c3(iPr_def_10,X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[c_1634,c_75]) ).
tcf(c_1637,plain,
( ap_contractE_c2(iPr_def_10,combK,r)
| ap_contractE_c1(iPr_def_10,combK,r) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1543,c_1636]) ).
tcf(c_1650,plain,
( ap_contractE_c2(iPr_def_10,combK,r)
| ( comb_app(combK,r) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_1637,c_81]) ).
tcf(c_1673,plain,
( ( comb_app(combK,r) = iPr_def_10 )
| ( comb_app(comb_app(combS,ap_contractE_sk1p(iPr_def_10,combK,r)),ap_contractE_sk1q(iPr_def_10,combK,r)) = iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_1650,c_86]) ).
tcf(c_1704,plain,
( ( comb_app(combK,r) = iPr_def_10 )
| ( comb_app(combS,ap_contractE_sk1p(iPr_def_10,combK,r)) = combS ) ),
inference(superposition,[status(thm)],[c_1673,c_1398]) ).
tcf(c_1712,plain,
comb_app(combK,r) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_1704,c_75]) ).
tcf(c_1724,plain,
combK = combS,
inference(superposition,[status(thm)],[c_1712,c_1398]) ).
tcf(c_1730,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1724,c_73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL090-3 : 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 : n009.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
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Fri Sep 25 07:32:45 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 0.96/1.29 % SZS status Started for theBenchmark.p
% 0.96/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 0.96/1.29
% 0.96/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.96/1.29
% 0.96/1.29 % ------ iProver source info
% 0.96/1.29
% 0.96/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 0.96/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.96/1.29 % git: non_committed_changes: false
% 0.96/1.29
% 0.96/1.29 % ------ Parsing...% successful
% 0.96/1.29
% 0.96/1.29
% 0.96/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.96/1.29
% 0.96/1.29 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 0.96/1.29
% 0.96/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.96/1.29
% 0.96/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.96/1.29 % ------ Proving...
% 0.96/1.29 % ------ Problem Properties
% 0.96/1.29
% 0.96/1.29 %
% 0.96/1.29 % clauses 26
% 0.96/1.29 % conjectures 1
% 0.96/1.29 % EPR 7
% 0.96/1.29 % Horn 25
% 0.96/1.29 % unary 9
% 0.96/1.29 % binary 16
% 0.96/1.29 % lits 46
% 0.96/1.29 % lits eq 15
% 0.96/1.29 % fd_pure 0
% 0.96/1.29 % fd_pseudo 0
% 0.96/1.29 % fd_cond 0
% 0.96/1.29 % fd_pseudo_cond 3
% 0.96/1.29 % AC symbols 0
% 0.96/1.29
% 0.96/1.29 % ------ Schedule dynamic 5 is on
% 0.96/1.29
% 0.96/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.96/1.29
% 0.96/1.29
% 0.96/1.29 % ------
% 0.96/1.29 % Current options:
% 0.96/1.29 % ------
% 0.96/1.29
% 0.96/1.29
% 0.96/1.29 %
% 0.96/1.29
% 0.96/1.29 % ------ Proving...
% 0.96/1.29 %
% 0.96/1.29
% 0.96/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 0.96/1.29
% 0.96/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.96/1.29
% 0.96/1.29
%------------------------------------------------------------------------------