%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COL091-2 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n002.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 51.33s 21.03s
% Output : CNFRefutation 51.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 39 ( 9 unt; 0 def)
% Number of atoms : 85 ( 31 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 74 ( 28 ~; 46 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 56 ( 0 sgn 56 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
fof(f158,axiom,
! [X0,X1] : combK != comb_app(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_app) ).
fof(f171,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/sandbox2/benchmark/theBenchmark.p',ap_contractE1) ).
fof(f174,axiom,
! [X2,X0,X1] :
( X0 = comb_app(combK,X2)
| ~ ap_contractE_c1(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE4) ).
fof(f175,plain,
! [X2,X0,X1] :
( comb_app(combK,X2) = X0
| ~ ap_contractE_c1(X0,X1,X2) ),
inference(reorient_equations,[],[f174]) ).
fof(f181,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/sandbox2/benchmark/theBenchmark.p',ap_contractE9) ).
fof(f182,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,[],[f181]) ).
fof(f183,axiom,
! [X2,X0,X1] :
( member(pair(X0,ap_contractE_sk2q(X0,X1,X2)),contract)
| ~ ap_contractE_c3(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE10) ).
fof(f187,axiom,
! [X2,X0,X1] :
( member(pair(X1,ap_contractE_sk3q(X0,X1,X2)),contract)
| ~ ap_contractE_c4(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE13) ).
fof(f189,axiom,
! [X2,X0,X1] :
( X2 = comb_app(X0,ap_contractE_sk3q(X0,X1,X2))
| ~ ap_contractE_c4(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE15) ).
fof(f190,plain,
! [X2,X0,X1] :
( comb_app(X0,ap_contractE_sk3q(X0,X1,X2)) = X2
| ~ ap_contractE_c4(X0,X1,X2) ),
inference(reorient_equations,[],[f189]) ).
fof(f191,axiom,
! [X0] : ~ member(pair(combK,X0),contract),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_contractE) ).
fof(f193,axiom,
member(pair(comb_app(combK,p),r),contract),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k1_contractD_h1) ).
fof(f194,negated_conjecture,
! [X0] :
( ~ member(pair(p,X0),contract)
| r != comb_app(combK,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k1_contractD_c1) ).
fof(f195,plain,
! [X0] :
( ~ member(pair(p,X0),contract)
| comb_app(combK,X0) != r ),
inference(reorient_equations,[],[f194]) ).
tcf(c_360,plain,
! [X0: $i,X1: $i] : comb_app(X0,X1) != combK,
inference(cnf_transformation,[],[f158]) ).
tcf(c_372,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,[],[f171]) ).
tcf(c_375,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( comb_app(combK,X2) = X0 )
| ~ ap_contractE_c1(X0,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_380,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,[],[f182]) ).
tcf(c_381,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,[],[f183]) ).
tcf(c_384,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,[],[f187]) ).
tcf(c_386,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( comb_app(X0,ap_contractE_sk3q(X0,X1,X2)) = X2 )
| ~ ap_contractE_c4(X0,X1,X2) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_387,plain,
! [X0: $i] : ~ member(pair(combK,X0),contract),
inference(cnf_transformation,[],[f191]) ).
tcf(c_389,plain,
member(pair(comb_app(combK,p),r),contract),
inference(cnf_transformation,[],[f193]) ).
tcf(c_390,negated_conjecture,
! [X0: $i] :
( ~ member(pair(p,X0),contract)
| ( comb_app(combK,X0) != r ) ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_6385,plain,
! [X0: $i,X1: $i] : ~ ap_contractE_c3(combK,X0,X1),
inference(superposition,[status(thm)],[c_381,c_387]) ).
tcf(c_6396,plain,
( ap_contractE_c4(combK,p,r)
| ap_contractE_c3(combK,p,r)
| ap_contractE_c2(combK,p,r)
| ap_contractE_c1(combK,p,r) ),
inference(superposition,[status(thm)],[c_389,c_372]) ).
tcf(c_6402,plain,
( ap_contractE_c3(combK,p,r)
| ap_contractE_c2(combK,p,r)
| ap_contractE_c1(combK,p,r)
| ( comb_app(combK,ap_contractE_sk3q(combK,p,r)) = r ) ),
inference(superposition,[status(thm)],[c_6396,c_386]) ).
tcf(c_6406,plain,
( ap_contractE_c2(combK,p,r)
| ap_contractE_c1(combK,p,r)
| ( comb_app(combK,ap_contractE_sk3q(combK,p,r)) = r ) ),
inference(superposition,[status(thm)],[c_6402,c_6385]) ).
tcf(c_6423,plain,
( ap_contractE_c2(combK,p,r)
| ( comb_app(combK,r) = combK )
| ( comb_app(combK,ap_contractE_sk3q(combK,p,r)) = r ) ),
inference(superposition,[status(thm)],[c_6406,c_375]) ).
tcf(c_6437,plain,
( ( comb_app(combK,r) = combK )
| ( comb_app(combK,ap_contractE_sk3q(combK,p,r)) = r )
| ( comb_app(comb_app(combS,ap_contractE_sk1p(combK,p,r)),ap_contractE_sk1q(combK,p,r)) = combK ) ),
inference(superposition,[status(thm)],[c_6423,c_380]) ).
tcf(c_6481,plain,
( ( comb_app(combK,r) = combK )
| ( comb_app(combK,ap_contractE_sk3q(combK,p,r)) = r ) ),
inference(superposition,[status(thm)],[c_6437,c_360]) ).
tcf(c_6500,plain,
( ( comb_app(combK,r) = combK )
| ~ member(pair(p,ap_contractE_sk3q(combK,p,r)),contract) ),
inference(superposition,[status(thm)],[c_6481,c_390]) ).
tcf(c_6536,plain,
( ( comb_app(combK,r) = combK )
| ~ ap_contractE_c4(combK,p,r) ),
inference(superposition,[status(thm)],[c_384,c_6500]) ).
tcf(c_6537,plain,
( ap_contractE_c3(combK,p,r)
| ap_contractE_c2(combK,p,r)
| ap_contractE_c1(combK,p,r)
| ( comb_app(combK,r) = combK ) ),
inference(superposition,[status(thm)],[c_6396,c_6536]) ).
tcf(c_6546,plain,
( ap_contractE_c2(combK,p,r)
| ap_contractE_c1(combK,p,r)
| ( comb_app(combK,r) = combK ) ),
inference(superposition,[status(thm)],[c_6537,c_6385]) ).
tcf(c_6549,plain,
( ap_contractE_c2(combK,p,r)
| ( comb_app(combK,r) = combK ) ),
inference(superposition,[status(thm)],[c_6546,c_375]) ).
tcf(c_6555,plain,
( ( comb_app(combK,r) = combK )
| ( comb_app(comb_app(combS,ap_contractE_sk1p(combK,p,r)),ap_contractE_sk1q(combK,p,r)) = combK ) ),
inference(superposition,[status(thm)],[c_6549,c_380]) ).
tcf(c_6568,plain,
comb_app(combK,r) = combK,
inference(superposition,[status(thm)],[c_6555,c_360]) ).
tcf(c_6583,plain,
$false,
inference(superposition,[status(thm)],[c_6568,c_360]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL091-2 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/5.39 % Computer : n002.cluster.edu
% 0.10/5.39 % Model : x86_64 x86_64
% 0.10/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.39 % Memory : 8046.5625MB
% 0.10/5.39 % OS : Linux 6.8.0-71-generic
% 0.10/5.39 % CPULimit : 300
% 0.10/5.39 % WCLimit : 300
% 0.10/5.39 % DateTime : Fri Sep 25 07:35:26 UTC 2026
% 0.10/5.39 % CPUTime :
% 0.10/5.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/5.42 Running first-order theorem proving
% 0.15/5.43 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/5.44
% 0.15/5.44 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.44
% 0.15/5.44 % Detected problem language: tptp
% 0.15/5.45 % Proving...
% 51.33/21.03 % SZS status Started for theBenchmark.p
% 51.33/21.03 % SZS status Unsatisfiable for theBenchmark.p
% 51.33/21.03
% 51.33/21.03 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 51.33/21.03
% 51.33/21.03 % ------ iProver source info
% 51.33/21.03
% 51.33/21.03 % git: date: 2026-07-19 20:42:38 +0200
% 51.33/21.03 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 51.33/21.03 % git: non_committed_changes: false
% 51.33/21.03
% 51.33/21.03 % ------ Parsing...% successful
% 51.33/21.03
% 51.33/21.03
% 51.33/21.03 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 51.33/21.03
% 51.33/21.03 % ------ Preprocessing... sup_sim: 0 sf_s rm: 11 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e %
% 51.33/21.03
% 51.33/21.03 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 51.33/21.03
% 51.33/21.03 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 51.33/21.03 % ------ Proving...
% 51.33/21.03 % ------ Problem Properties
% 51.33/21.03
% 51.33/21.03 %
% 51.33/21.03 % clauses 147
% 51.33/21.03 % conjectures 1
% 51.33/21.03 % EPR 14
% 51.33/21.03 % Horn 122
% 51.33/21.03 % unary 19
% 51.33/21.03 % binary 89
% 51.33/21.03 % lits 319
% 51.33/21.03 % lits eq 56
% 51.33/21.03 % fd_pure 0
% 51.33/21.03 % fd_pseudo 0
% 51.33/21.03 % fd_cond 0
% 51.33/21.03 % fd_pseudo_cond 19
% 51.33/21.03 % AC symbols 0
% 51.33/21.03
% 51.33/21.03 % ------ Input Options Time Limit: Unbounded
% 51.33/21.03
% 51.33/21.03
% 51.33/21.03 % ------
% 51.33/21.03 % Current options:
% 51.33/21.03 % ------
% 51.33/21.03
% 51.33/21.03
% 51.33/21.03 %
% 51.33/21.03
% 51.33/21.03 % ------ Proving...
% 51.33/21.03 %
% 51.33/21.03
% 51.33/21.03 % ------ Proving...
% 51.33/21.03 %
% 51.33/21.03
% 51.33/21.03 % ------ Proving...
% 51.33/21.03 %
% 51.33/21.03
% 51.33/21.03 % SZS status Unsatisfiable for theBenchmark.p
% 51.33/21.03
% 51.33/21.03 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 51.33/21.04
% 51.33/21.04
%------------------------------------------------------------------------------