%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN982-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n010.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 03:45:34 PM UTC 2026
% Result : Unsatisfiable 2.17s 26.53s
% Output : CNFRefutation 2.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 18
% Syntax : Number of formulae : 64 ( 18 unt; 2 def)
% Number of atoms : 161 ( 2 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 168 ( 92 ~; 76 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 5 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 82 ( 0 sgn 82 !; 0 ?; 53 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
ssBf(na),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f4,axiom,
ssP(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f5,axiom,
ssP(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
fof(f14,axiom,
! [X0,X1] :
( ssIm(X1)
| ~ ssIm(pair(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).
fof(f16,axiom,
ssM(sent(a,b,pair(a,na))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).
fof(f17,axiom,
! [X2,X0,X1] :
( ssIm(X2)
| ~ ssIm(triple(X0,X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).
fof(f18,axiom,
! [X2,X0,X1] :
( ssIm(X1)
| ~ ssIm(triple(X0,X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).
fof(f20,axiom,
! [X2,X0,X1] :
( ssIm(X2)
| ~ ssM(sent(X0,X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).
fof(f25,axiom,
! [X0,X1] :
( ssIk(key(X0,X1))
| ~ ssP(X1)
| ~ ssIm(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).
fof(f26,axiom,
! [X0,X1] :
( ssIm(pair(X0,X1))
| ~ ssIm(X1)
| ~ ssIm(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).
fof(f27,axiom,
! [X2,X0,X1] :
( ssM(sent(X1,X2,X0))
| ~ ssP(X2)
| ~ ssP(X1)
| ~ ssIm(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
fof(f29,axiom,
! [X2,X0,X1] :
( ssIm(encr(X0,X1))
| ~ ssP(X2)
| ~ ssIk(key(X1,X2))
| ~ ssIm(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).
fof(f30,axiom,
! [X0,X1] :
( ssSb(pair(X0,X1))
| ~ ssBf(X1)
| ~ ssM(sent(X0,b,pair(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).
fof(f33,axiom,
! [X0,X1] :
( ssM(sent(b,t,triple(b,nb(X1),encr(triple(X0,X1,tb(X1)),bt))))
| ~ ssBf(X1)
| ~ ssM(sent(X0,b,pair(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
fof(f34,axiom,
! [X2,X0,X1] :
( ssBk(key(X1,X0))
| ~ ssSb(pair(X0,X2))
| ~ ssM(sent(X0,b,pair(encr(triple(X0,X1,tb(X2)),bt),encr(nb(X2),X1)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
fof(f37,negated_conjecture,
! [X0] :
( ~ ssBk(key(X0,a))
| ~ ssIk(key(X0,b)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
tcf(c_88,plain,
ssBf(na),
inference(cnf_transformation,[],[f3]) ).
tcf(c_89,plain,
ssP(b),
inference(cnf_transformation,[],[f4]) ).
tcf(c_90,plain,
ssP(a),
inference(cnf_transformation,[],[f5]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i] :
( ssIm(X1)
| ~ ssIm(pair(X0,X1)) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_100,plain,
ssM(sent(a,b,pair(a,na))),
inference(cnf_transformation,[],[f16]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssIm(X2)
| ~ ssIm(triple(X0,X1,X2)) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssIm(X1)
| ~ ssIm(triple(X0,X1,X2)) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssIm(X2)
| ~ ssM(sent(X0,X1,X2)) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i] :
( ssIk(key(X1,X0))
| ~ ssIm(X1)
| ~ ssP(X0) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i] :
( ssIm(pair(X1,X0))
| ~ ssIm(X1)
| ~ ssIm(X0) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssM(sent(X0,X1,X2))
| ~ ssIm(X2)
| ~ ssP(X1)
| ~ ssP(X0) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssIm(encr(X2,X0))
| ~ ssIm(X2)
| ~ ssP(X1)
| ~ ssIk(key(X0,X1)) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i] :
( ssSb(pair(X0,X1))
| ~ ssBf(X1)
| ~ ssM(sent(X0,b,pair(X0,X1))) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i] :
( ssM(sent(b,t,triple(b,nb(X1),encr(triple(X0,X1,tb(X1)),bt))))
| ~ ssBf(X1)
| ~ ssM(sent(X0,b,pair(X0,X1))) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssBk(key(X1,X0))
| ~ ssSb(pair(X0,X2))
| ~ ssM(sent(X0,b,pair(encr(triple(X0,X1,tb(X2)),bt),encr(nb(X2),X1)))) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_120,negated_conjecture,
! [X0: $i] :
( ~ ssIk(key(X0,b))
| ~ ssBk(key(X0,a)) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_300,plain,
! [X0: $i,X1: $i] :
( ~ ssSb(pair(a,X1))
| ~ ssIk(key(X0,b))
| ~ ssM(sent(a,b,pair(encr(triple(a,X0,tb(X1)),bt),encr(nb(X1),X0)))) ),
inference(resolution,[status(thm)],[c_117,c_120]) ).
tcf(c_314,plain,
! [X0: $i] :
( ssM(sent(b,t,triple(b,nb(na),encr(triple(X0,na,tb(na)),bt))))
| ~ ssM(sent(X0,b,pair(X0,na))) ),
inference(resolution,[status(thm)],[c_88,c_116]) ).
tcf(c_322,plain,
! [X0: $i] :
( ssSb(pair(X0,na))
| ~ ssM(sent(X0,b,pair(X0,na))) ),
inference(resolution,[status(thm)],[c_88,c_114]) ).
tcf(c_334,plain,
! [X0: $i] :
( ~ ssIk(key(X0,b))
| ~ ssM(sent(a,b,pair(a,na)))
| ~ ssM(sent(a,b,pair(encr(triple(a,X0,tb(na)),bt),encr(nb(na),X0)))) ),
inference(resolution,[status(thm)],[c_300,c_322]) ).
tcf(c_336,plain,
! [X0: $i] :
( ~ ssIk(key(X0,b))
| ~ ssM(sent(a,b,pair(encr(triple(a,X0,tb(na)),bt),encr(nb(na),X0)))) ),
inference(global_subsumption_just,[status(thm)],[c_334,c_100,c_334]) ).
tcf(c_347,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssIm(encr(X1,X2))
| ~ ssIm(X2)
| ~ ssIm(X1)
| ~ ssP(X0) ),
inference(resolution,[status(thm)],[c_113,c_109]) ).
tcf(c_361,plain,
! [X0: $i] :
( ~ ssP(b)
| ~ ssIm(X0)
| ~ ssM(sent(a,b,pair(encr(triple(a,X0,tb(na)),bt),encr(nb(na),X0)))) ),
inference(resolution,[status(thm)],[c_109,c_336]) ).
tcf(c_363,plain,
! [X0: $i] :
( ~ ssM(sent(a,b,pair(encr(triple(a,X0,tb(na)),bt),encr(nb(na),X0))))
| ~ ssIm(X0) ),
inference(global_subsumption_just,[status(thm)],[c_361,c_89,c_361]) ).
tcf(c_364,plain,
! [X0: $i] :
( ~ ssIm(X0)
| ~ ssM(sent(a,b,pair(encr(triple(a,X0,tb(na)),bt),encr(nb(na),X0)))) ),
inference(renaming,[status(thm)],[c_363]) ).
tcf(c_603,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_10
| ssIm(encr(X0,X1))
| ~ ssIm(X1)
| ~ ssIm(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_347]) ).
tcf(c_604,plain,
! [X0: $i] :
( ~ iPr_def_11
| ~ ssP(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_347]) ).
tcf(c_605,plain,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_347]) ).
tcf(c_606,definition,
iPr_def_12 = tb(na),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_607,definition,
iPr_def_13 = nb(na),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_608,plain,
! [X0: $i] :
( ~ ssIm(X0)
| ~ ssM(sent(a,b,pair(encr(triple(a,X0,iPr_def_12),bt),encr(iPr_def_13,X0)))) ),
inference(demodulation,[status(thm)],[c_364,c_607,c_606]) ).
tcf(c_636,plain,
( ~ iPr_def_11
| ~ ssP(b) ),
inference(instantiation,[status(thm)],[c_604]) ).
tcf(c_1103,plain,
ssIm(pair(a,na)),
inference(superposition,[status(thm)],[c_100,c_104]) ).
tcf(c_1105,plain,
ssIm(na),
inference(superposition,[status(thm)],[c_1103,c_98]) ).
tcf(c_1130,plain,
! [X0: $i,X1: $i] :
( ~ ssIm(X0)
| ~ ssIm(X1)
| ssIm(encr(X0,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_603,c_89,c_603,c_636,c_605]) ).
tcf(c_1131,plain,
! [X0: $i,X1: $i] :
( ssIm(encr(X0,X1))
| ~ ssIm(X1)
| ~ ssIm(X0) ),
inference(renaming,[status(thm)],[c_1130]) ).
tcf(c_1147,plain,
! [X0: $i] :
( ~ ssP(a)
| ~ ssP(b)
| ~ ssIm(X0)
| ~ ssIm(pair(encr(triple(a,X0,iPr_def_12),bt),encr(iPr_def_13,X0))) ),
inference(superposition,[status(thm)],[c_111,c_608]) ).
tcf(c_1148,plain,
! [X0: $i] :
( ~ ssIm(X0)
| ~ ssIm(pair(encr(triple(a,X0,iPr_def_12),bt),encr(iPr_def_13,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1147,c_90,c_89]) ).
tcf(c_1167,plain,
! [X0: $i] :
( ~ ssIm(X0)
| ~ ssIm(encr(iPr_def_13,X0))
| ~ ssIm(encr(triple(a,X0,iPr_def_12),bt)) ),
inference(superposition,[status(thm)],[c_110,c_1148]) ).
tcf(c_1259,plain,
! [X0: $i] :
( ssM(sent(b,t,triple(b,iPr_def_13,encr(triple(X0,na,iPr_def_12),bt))))
| ~ ssM(sent(X0,b,pair(X0,na))) ),
inference(light_normalisation,[status(thm)],[c_314,c_606,c_607]) ).
tcf(c_1266,plain,
ssM(sent(b,t,triple(b,iPr_def_13,encr(triple(a,na,iPr_def_12),bt)))),
inference(superposition,[status(thm)],[c_100,c_1259]) ).
tcf(c_1273,plain,
ssIm(triple(b,iPr_def_13,encr(triple(a,na,iPr_def_12),bt))),
inference(superposition,[status(thm)],[c_1266,c_104]) ).
tcf(c_1317,plain,
ssIm(iPr_def_13),
inference(superposition,[status(thm)],[c_1273,c_102]) ).
tcf(c_1318,plain,
ssIm(encr(triple(a,na,iPr_def_12),bt)),
inference(superposition,[status(thm)],[c_1273,c_101]) ).
tcf(c_1326,plain,
( ~ ssIm(na)
| ~ ssIm(encr(iPr_def_13,na)) ),
inference(superposition,[status(thm)],[c_1318,c_1167]) ).
tcf(c_1327,plain,
~ ssIm(encr(iPr_def_13,na)),
inference(forward_subsumption_resolution,[status(thm)],[c_1326,c_1105]) ).
tcf(c_1328,plain,
( ~ ssIm(iPr_def_13)
| ~ ssIm(na) ),
inference(superposition,[status(thm)],[c_1131,c_1327]) ).
tcf(c_1329,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1328,c_1317,c_1105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN982-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/25.61 % Computer : n010.cluster.edu
% 0.10/25.61 % Model : x86_64 x86_64
% 0.10/25.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/25.61 % Memory : 8046.5625MB
% 0.10/25.61 % OS : Linux 6.8.0-71-generic
% 0.10/25.61 % CPULimit : 300
% 0.10/25.61 % WCLimit : 300
% 0.10/25.61 % DateTime : Fri Sep 25 02:43:29 UTC 2026
% 0.10/25.61 % CPUTime :
% 0.10/25.61 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/25.65 Running first-order theorem proving
% 0.14/25.65 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
% 0.14/25.66
% 0.14/25.66 % ======== iProver multi-core TPTP/SMT =========
% 0.14/25.66
% 0.14/25.67 % Detected problem language: tptp
% 0.14/25.68 % Proving...
% 2.17/26.53 % SZS status Started for theBenchmark.p
% 2.17/26.53 % SZS status Unsatisfiable for theBenchmark.p
% 2.17/26.53
% 2.17/26.53 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.17/26.53
% 2.17/26.53 % ------ iProver source info
% 2.17/26.53
% 2.17/26.53 % git: date: 2026-07-19 20:42:38 +0200
% 2.17/26.53 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.17/26.53 % git: non_committed_changes: false
% 2.17/26.53
% 2.17/26.53 % ------ Parsing...% successful
% 2.17/26.53
% 2.17/26.53
% 2.17/26.53 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.17/26.53
% 2.17/26.53 % ------ Preprocessing... sf_s rm: 2 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.17/26.53
% 2.17/26.53 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.17/26.53
% 2.17/26.53 % ------ Preprocessing... sf_s rm: 3 0s sf_e sf_s rm: 0 0s sf_e
% 2.17/26.53 % ------ Proving...
% 2.17/26.53 % ------ Problem Properties
% 2.17/26.53
% 2.17/26.53 %
% 2.17/26.53 % clauses 32
% 2.17/26.53 % conjectures 0
% 2.17/26.53 % EPR 6
% 2.17/26.53 % Horn 31
% 2.17/26.53 % unary 11
% 2.17/26.53 % binary 15
% 2.17/26.53 % lits 66
% 2.17/26.53 % lits eq 2
% 2.17/26.53 % fd_pure 0
% 2.17/26.53 % fd_pseudo 0
% 2.17/26.53 % fd_cond 0
% 2.17/26.53 % fd_pseudo_cond 0
% 2.17/26.53 % AC symbols 0
% 2.17/26.53
% 2.17/26.53 % ------ Schedule dynamic 5 is on
% 2.17/26.53
% 2.17/26.53 % ------ no conjectures: strip conj schedule
% 2.17/26.53
% 2.17/26.53 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 2.17/26.53
% 2.17/26.53
% 2.17/26.53 % ------
% 2.17/26.53 % Current options:
% 2.17/26.53 % ------
% 2.17/26.53
% 2.17/26.53
% 2.17/26.53 %
% 2.17/26.53
% 2.17/26.53 % ------ Proving...
% 2.17/26.53 %
% 2.17/26.53
% 2.17/26.53 % SZS status Unsatisfiable for theBenchmark.p
% 2.17/26.53
% 2.17/26.53 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.17/26.53
% 2.17/26.53
%------------------------------------------------------------------------------