TSTP Solution File: KRS116+1 by Leo-III---1.7.10
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : KRS116+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 7 07:51:54 EDT 2024
% Result : Unsatisfiable 3.47s 1.93s
% Output : Refutation 3.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 40
% Syntax : Number of formulae : 59 ( 3 unt; 22 typ; 0 def)
% Number of atoms : 152 ( 0 equ; 0 cnn)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 342 ( 8 ~; 0 |; 46 &; 219 @)
% ( 13 <=>; 56 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 28 ( 28 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 22 usr; 2 con; 0-2 aty)
% Number of variables : 88 ( 0 ^ 68 !; 20 ?; 88 :)
% Comments :
%------------------------------------------------------------------------------
thf(cowlThing_type,type,
cowlThing: $i > $o ).
thf(cowlNothing_type,type,
cowlNothing: $i > $o ).
thf(xsd_string_type,type,
xsd_string: $i > $o ).
thf(xsd_integer_type,type,
xsd_integer: $i > $o ).
thf(cUnsatisfiable_type,type,
cUnsatisfiable: $i > $o ).
thf(ca_type,type,
ca: $i > $o ).
thf(rs_type,type,
rs: $i > $i > $o ).
thf(ca_Ax2_type,type,
ca_Ax2: $i > $o ).
thf(ra_Px1_type,type,
ra_Px1: $i > $i > $o ).
thf(caxcomp_type,type,
caxcomp: $i > $o ).
thf(cc_type,type,
cc: $i > $o ).
thf(rinvR_type,type,
rinvR: $i > $i > $o ).
thf(ca_Vx7_type,type,
ca_Vx7: $i > $o ).
thf(rp_type,type,
rp: $i > $i > $o ).
thf(ca_Vx3_type,type,
ca_Vx3: $i > $o ).
thf(ca_Vx5_type,type,
ca_Vx5: $i > $o ).
thf(rr_type,type,
rr: $i > $i > $o ).
thf(ca_Vx4_type,type,
ca_Vx4: $i > $o ).
thf(ca_Vx6_type,type,
ca_Vx6: $i > $o ).
thf(rinvS_type,type,
rinvS: $i > $i > $o ).
thf(rinvP_type,type,
rinvP: $i > $i > $o ).
thf(i2003_11_14_17_21_33997_type,type,
i2003_11_14_17_21_33997: $i ).
thf(2,axiom,
! [A: $i] :
( ( xsd_string @ A )
<=> ~ ( xsd_integer @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
thf(24,plain,
! [A: $i] :
( ( ( xsd_string @ A )
=> ~ ( xsd_integer @ A ) )
& ( ~ ( xsd_integer @ A )
=> ( xsd_string @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: $i] :
( ( cUnsatisfiable @ A )
=> ( ca @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
thf(29,plain,
! [A: $i] :
( ( cUnsatisfiable @ A )
=> ( ca @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(13,axiom,
! [A: $i] :
( ( ca_Vx7 @ A )
<=> ! [B: $i] :
( ( rinvP @ A @ B )
=> ( ca_Vx6 @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
thf(106,plain,
! [A: $i] :
( ( ( ca_Vx7 @ A )
=> ! [B: $i] :
( ( rinvP @ A @ B )
=> ( ca_Vx6 @ B ) ) )
& ( ! [B: $i] :
( ( rinvP @ A @ B )
=> ( ca_Vx6 @ B ) )
=> ( ca_Vx7 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(11,axiom,
! [A: $i] :
( ( ca_Vx5 @ A )
<=> ! [B: $i] :
( ( rr @ A @ B )
=> ( cc @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
thf(92,plain,
! [A: $i] :
( ( ( ca_Vx5 @ A )
=> ! [B: $i] :
( ( rr @ A @ B )
=> ( cc @ B ) ) )
& ( ! [B: $i] :
( ( rr @ A @ B )
=> ( cc @ B ) )
=> ( ca_Vx5 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(17,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( rp @ A @ B )
& ( rp @ B @ C ) )
=> ( rp @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).
thf(128,plain,
! [A: $i,B: $i,C: $i] :
( ( ( rp @ A @ B )
& ( rp @ B @ C ) )
=> ( rp @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(5,axiom,
! [A: $i] :
( ( ca @ A )
<=> ~ ? [B: $i] : ( ra_Px1 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
thf(34,plain,
! [A: $i] :
( ( ( ca @ A )
=> ~ ? [B: $i] : ( ra_Px1 @ A @ B ) )
& ( ~ ? [B: $i] : ( ra_Px1 @ A @ B )
=> ( ca @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(10,axiom,
! [A: $i] :
( ( ca_Vx4 @ A )
<=> ? [B: $i] :
( ( rp @ A @ B )
& ( cowlThing @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
thf(86,plain,
! [A: $i] :
( ( ( ca_Vx4 @ A )
=> ? [B: $i] :
( ( rp @ A @ B )
& ( cowlThing @ B ) ) )
& ( ? [B: $i] :
( ( rp @ A @ B )
& ( cowlThing @ B ) )
=> ( ca_Vx4 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(16,axiom,
! [A: $i,B: $i] :
( ( rinvS @ A @ B )
<=> ( rs @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
thf(123,plain,
! [A: $i,B: $i] :
( ( ( rinvS @ A @ B )
=> ( rs @ B @ A ) )
& ( ( rs @ B @ A )
=> ( rinvS @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(4,axiom,
! [A: $i] :
( ( cUnsatisfiable @ A )
=> ? [B: $i] :
( ( rs @ A @ B )
& ( ca_Ax2 @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
thf(31,plain,
! [A: $i] :
( ( cUnsatisfiable @ A )
=> ? [B: $i] :
( ( rs @ A @ B )
& ( ca_Ax2 @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(12,axiom,
! [A: $i] :
( ( ca_Vx6 @ A )
<=> ! [B: $i] :
( ( rinvS @ A @ B )
=> ( caxcomp @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
thf(99,plain,
! [A: $i] :
( ( ( ca_Vx6 @ A )
=> ! [B: $i] :
( ( rinvS @ A @ B )
=> ( caxcomp @ B ) ) )
& ( ! [B: $i] :
( ( rinvS @ A @ B )
=> ( caxcomp @ B ) )
=> ( ca_Vx6 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(7,axiom,
! [A: $i] :
( ( cc @ A )
<=> ! [B: $i] :
( ( rinvR @ A @ B )
=> ( ca_Vx7 @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
thf(44,plain,
! [A: $i] :
( ( ( cc @ A )
=> ! [B: $i] :
( ( rinvR @ A @ B )
=> ( ca_Vx7 @ B ) ) )
& ( ! [B: $i] :
( ( rinvR @ A @ B )
=> ( ca_Vx7 @ B ) )
=> ( cc @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(15,axiom,
! [A: $i,B: $i] :
( ( rinvR @ A @ B )
<=> ( rr @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
thf(118,plain,
! [A: $i,B: $i] :
( ( ( rinvR @ A @ B )
=> ( rr @ B @ A ) )
& ( ( rr @ B @ A )
=> ( rinvR @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(14,axiom,
! [A: $i,B: $i] :
( ( rinvP @ A @ B )
<=> ( rp @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
thf(113,plain,
! [A: $i,B: $i] :
( ( ( rinvP @ A @ B )
=> ( rp @ B @ A ) )
& ( ( rp @ B @ A )
=> ( rinvP @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(6,axiom,
! [A: $i] :
( ( caxcomp @ A )
<=> ? [B: $i] : ( ra_Px1 @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
thf(39,plain,
! [A: $i] :
( ( ( caxcomp @ A )
=> ? [B: $i] : ( ra_Px1 @ A @ B ) )
& ( ? [B: $i] : ( ra_Px1 @ A @ B )
=> ( caxcomp @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(18,axiom,
cUnsatisfiable @ i2003_11_14_17_21_33997,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
thf(130,plain,
cUnsatisfiable @ i2003_11_14_17_21_33997,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(9,axiom,
! [A: $i] :
( ( ca_Vx3 @ A )
<=> ? [B: $i] :
( ( rr @ A @ B )
& ( cowlThing @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
thf(80,plain,
! [A: $i] :
( ( ( ca_Vx3 @ A )
=> ? [B: $i] :
( ( rr @ A @ B )
& ( cowlThing @ B ) ) )
& ( ? [B: $i] :
( ( rr @ A @ B )
& ( cowlThing @ B ) )
=> ( ca_Vx3 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(8,axiom,
! [A: $i] :
( ( ca_Ax2 @ A )
<=> ( ! [B: $i] :
( ( rp @ A @ B )
=> ( ca_Vx3 @ B ) )
& ! [B: $i] :
( ( rp @ A @ B )
=> ( ca_Vx5 @ B ) )
& ! [B: $i] :
( ( rr @ A @ B )
=> ( cc @ B ) )
& ? [B: $i] :
( ( rr @ A @ B )
& ( cowlThing @ B ) )
& ? [B: $i] :
( ( rp @ A @ B )
& ( cowlThing @ B ) )
& ! [B: $i] :
( ( rp @ A @ B )
=> ( ca_Vx4 @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
thf(51,plain,
! [A: $i] :
( ( ( ca_Ax2 @ A )
=> ( ! [B: $i] :
( ( rp @ A @ B )
=> ( ca_Vx3 @ B ) )
& ! [B: $i] :
( ( rp @ A @ B )
=> ( ca_Vx5 @ B ) )
& ! [B: $i] :
( ( rr @ A @ B )
=> ( cc @ B ) )
& ? [B: $i] :
( ( rr @ A @ B )
& ( cowlThing @ B ) )
& ? [B: $i] :
( ( rp @ A @ B )
& ( cowlThing @ B ) )
& ! [B: $i] :
( ( rp @ A @ B )
=> ( ca_Vx4 @ B ) ) ) )
& ( ( ! [B: $i] :
( ( rp @ A @ B )
=> ( ca_Vx3 @ B ) )
& ! [B: $i] :
( ( rp @ A @ B )
=> ( ca_Vx5 @ B ) )
& ! [B: $i] :
( ( rr @ A @ B )
=> ( cc @ B ) )
& ? [B: $i] :
( ( rr @ A @ B )
& ( cowlThing @ B ) )
& ? [B: $i] :
( ( rp @ A @ B )
& ( cowlThing @ B ) )
& ! [B: $i] :
( ( rp @ A @ B )
=> ( ca_Vx4 @ B ) ) )
=> ( ca_Ax2 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(1,axiom,
! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
thf(19,plain,
! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(131,plain,
$false,
inference(e,[status(thm)],[24,29,106,92,128,34,86,123,31,99,44,118,113,39,130,80,51,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS116+1 : TPTP v8.1.2. Released v3.1.0.
% 0.11/0.14 % Command : run_Leo-III %s %d
% 0.14/0.33 % Computer : n016.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon May 6 15:20:24 EDT 2024
% 0.14/0.33 % CPUTime :
% 0.82/0.82 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.15/0.95 % [INFO] Parsing done (132ms).
% 1.15/0.96 % [INFO] Running in sequential loop mode.
% 1.57/1.18 % [INFO] eprover registered as external prover.
% 1.57/1.19 % [INFO] cvc4 registered as external prover.
% 1.57/1.19 % [INFO] Scanning for conjecture ...
% 1.66/1.22 % [INFO] 18 axioms and no conjecture found.
% 1.72/1.29 % [INFO] Problem is first-order (TPTP FOF).
% 1.72/1.29 % [INFO] Type checking passed.
% 1.72/1.29 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 3.47/1.93 % External prover 'e' found a proof!
% 3.47/1.93 % [INFO] Killing All external provers ...
% 3.47/1.93 % Time passed: 1498ms (effective reasoning time: 963ms)
% 3.47/1.93 % Axioms used in derivation (18): axiom_7, axiom_10, axiom_15, axiom_2, axiom_6, axiom_16, axiom_3, axiom_1, axiom_8, axiom_17, axiom_0, axiom_11, axiom_12, axiom_9, axiom_14, axiom_4, axiom_5, axiom_13
% 3.47/1.93 % No. of inferences in proof: 37
% 3.47/1.93 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1498 ms resp. 963 ms w/o parsing
% 3.47/1.98 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.47/1.98 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------