TSTP Solution File: GRP123-9.004 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP123-9.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n019.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 : Wed Aug 31 16:20:20 EDT 2022

% Result   : Satisfiable 0.19s 0.52s
% Output   : FiniteModel 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP123-9.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 22:16:05 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (30599)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51  % (30607)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.51  % (30586)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.51  Detected maximum model sizes of [4]
% 0.19/0.51  % (30594)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51  TRYING [1]
% 0.19/0.51  TRYING [2]
% 0.19/0.51  % (30615)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.51  TRYING [3]
% 0.19/0.52  TRYING [4]
% 0.19/0.52  Finite Model Found!
% 0.19/0.52  % (30591)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.52  % (30594)Instruction limit reached!
% 0.19/0.52  % (30594)------------------------------
% 0.19/0.52  % (30594)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (30594)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (30594)Termination reason: Unknown
% 0.19/0.52  % (30594)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (30594)Memory used [KB]: 5373
% 0.19/0.52  % SZS status Satisfiable for theBenchmark
% 0.19/0.52  % (30594)Time elapsed: 0.111 s
% 0.19/0.52  % (30586)First to succeed.
% 0.19/0.52  % (30594)Instructions burned: 3 (million)
% 0.19/0.52  % (30594)------------------------------
% 0.19/0.52  % (30594)------------------------------
% 0.19/0.52  % SZS output start FiniteModel for theBenchmark
% 0.19/0.52  tff(declare_$i,type,$i:$tType).
% 0.19/0.52  tff(declare_$i1,type,e_1:$i).
% 0.19/0.52  tff(declare_$i2,type,e_2:$i).
% 0.19/0.52  tff(declare_$i3,type,e_3:$i).
% 0.19/0.52  tff(declare_$i4,type,e_4:$i).
% 0.19/0.52  tff(finite_domain,axiom,
% 0.19/0.52        ! [X:$i] : (
% 0.19/0.52           X = e_1 | X = e_2 | X = e_3 | X = e_4
% 0.19/0.52        ) ).
% 0.19/0.52  
% 0.19/0.52  tff(distinct_domain,axiom,
% 0.19/0.52           e_1 != e_2 & e_1 != e_3 & e_1 != e_4 & e_2 != e_3 & e_2 != e_4 & 
% 0.19/0.52           e_3 != e_4
% 0.19/0.52  ).
% 0.19/0.52  
% 0.19/0.52  tff(declare_bool,type,$o:$tType).
% 0.19/0.52  tff(declare_bool1,type,fmb_bool_1:$o).
% 0.19/0.52  tff(finite_domain,axiom,
% 0.19/0.52        ! [X:$o] : (
% 0.19/0.52           X = fmb_bool_1
% 0.19/0.52        ) ).
% 0.19/0.52  
% 0.19/0.52  tff(declare_group_element,type,group_element: $i > $o ).
% 0.19/0.52  tff(predicate_group_element,axiom,
% 0.19/0.52             group_element(e_1)
% 0.19/0.52           & group_element(e_2)
% 0.19/0.52           & group_element(e_3)
% 0.19/0.52           & group_element(e_4)
% 0.19/0.52  
% 0.19/0.52  ).
% 0.19/0.52  
% 0.19/0.52  tff(declare_product,type,product: $i * $i * $i > $o ).
% 0.19/0.52  tff(predicate_product,axiom,
% 0.19/0.52  %         product(e_1,e_1,e_1) undefined in model
% 0.19/0.52  %         product(e_1,e_1,e_2) undefined in model
% 0.19/0.52  %         product(e_1,e_1,e_3) undefined in model
% 0.19/0.52  %         product(e_1,e_1,e_4) undefined in model
% 0.19/0.52  %         product(e_1,e_2,e_1) undefined in model
% 0.19/0.52  %         product(e_1,e_2,e_2) undefined in model
% 0.19/0.52  %         product(e_1,e_2,e_3) undefined in model
% 0.19/0.52  %         product(e_1,e_2,e_4) undefined in model
% 0.19/0.52  %         product(e_1,e_3,e_1) undefined in model
% 0.19/0.52  %         product(e_1,e_3,e_2) undefined in model
% 0.19/0.52  %         product(e_1,e_3,e_3) undefined in model
% 0.19/0.52  %         product(e_1,e_3,e_4) undefined in model
% 0.19/0.52  %         product(e_1,e_4,e_1) undefined in model
% 0.19/0.52  %         product(e_1,e_4,e_2) undefined in model
% 0.19/0.52  %         product(e_1,e_4,e_3) undefined in model
% 0.19/0.52  %         product(e_1,e_4,e_4) undefined in model
% 0.19/0.52  %         product(e_2,e_1,e_1) undefined in model
% 0.19/0.52  %         product(e_2,e_1,e_2) undefined in model
% 0.19/0.52  %         product(e_2,e_1,e_3) undefined in model
% 0.19/0.52  %         product(e_2,e_1,e_4) undefined in model
% 0.19/0.52  %         product(e_2,e_2,e_1) undefined in model
% 0.19/0.52  %         product(e_2,e_2,e_2) undefined in model
% 0.19/0.52  %         product(e_2,e_2,e_3) undefined in model
% 0.19/0.52  %         product(e_2,e_2,e_4) undefined in model
% 0.19/0.52  %         product(e_2,e_3,e_1) undefined in model
% 0.19/0.52  %         product(e_2,e_3,e_2) undefined in model
% 0.19/0.52  %         product(e_2,e_3,e_3) undefined in model
% 0.19/0.52  %         product(e_2,e_3,e_4) undefined in model
% 0.19/0.52  %         product(e_2,e_4,e_1) undefined in model
% 0.19/0.52  %         product(e_2,e_4,e_2) undefined in model
% 0.19/0.52  %         product(e_2,e_4,e_3) undefined in model
% 0.19/0.52  %         product(e_2,e_4,e_4) undefined in model
% 0.19/0.52  %         product(e_3,e_1,e_1) undefined in model
% 0.19/0.52  %         product(e_3,e_1,e_2) undefined in model
% 0.19/0.52  %         product(e_3,e_1,e_3) undefined in model
% 0.19/0.52  %         product(e_3,e_1,e_4) undefined in model
% 0.19/0.52  %         product(e_3,e_2,e_1) undefined in model
% 0.19/0.52  %         product(e_3,e_2,e_2) undefined in model
% 0.19/0.52  %         product(e_3,e_2,e_3) undefined in model
% 0.19/0.52  %         product(e_3,e_2,e_4) undefined in model
% 0.19/0.52  %         product(e_3,e_3,e_1) undefined in model
% 0.19/0.52  %         product(e_3,e_3,e_2) undefined in model
% 0.19/0.52  %         product(e_3,e_3,e_3) undefined in model
% 0.19/0.52  %         product(e_3,e_3,e_4) undefined in model
% 0.19/0.52  %         product(e_3,e_4,e_1) undefined in model
% 0.19/0.52  %         product(e_3,e_4,e_2) undefined in model
% 0.19/0.52  %         product(e_3,e_4,e_3) undefined in model
% 0.19/0.52  %         product(e_3,e_4,e_4) undefined in model
% 0.19/0.52  %         product(e_4,e_1,e_1) undefined in model
% 0.19/0.52  %         product(e_4,e_1,e_2) undefined in model
% 0.19/0.52  %         product(e_4,e_1,e_3) undefined in model
% 0.19/0.52  %         product(e_4,e_1,e_4) undefined in model
% 0.19/0.52  %         product(e_4,e_2,e_1) undefined in model
% 0.19/0.52  %         product(e_4,e_2,e_2) undefined in model
% 0.19/0.52  %         product(e_4,e_2,e_3) undefined in model
% 0.19/0.52  %         product(e_4,e_2,e_4) undefined in model
% 0.19/0.52  %         product(e_4,e_3,e_1) undefined in model
% 0.19/0.52  %         product(e_4,e_3,e_2) undefined in model
% 0.19/0.52  %         product(e_4,e_3,e_3) undefined in model
% 0.19/0.52  %         product(e_4,e_3,e_4) undefined in model
% 0.19/0.52  %         product(e_4,e_4,e_1) undefined in model
% 0.19/0.52  %         product(e_4,e_4,e_2) undefined in model
% 0.19/0.52  %         product(e_4,e_4,e_3) undefined in model
% 0.19/0.52  %         product(e_4,e_4,e_4) undefined in model
% 0.19/0.52  
% 0.19/0.52  ).
% 0.19/0.52  
% 0.19/0.52  tff(declare_equalish,type,equalish: $i * $i > $o ).
% 0.19/0.52  tff(predicate_equalish,axiom,
% 0.19/0.52             equalish(e_1,e_1)
% 0.19/0.52           & ~equalish(e_1,e_2)
% 0.19/0.52           & ~equalish(e_1,e_3)
% 0.19/0.52           & ~equalish(e_1,e_4)
% 0.19/0.52           & ~equalish(e_2,e_1)
% 0.19/0.52           & equalish(e_2,e_2)
% 0.19/0.52           & ~equalish(e_2,e_3)
% 0.19/0.52           & ~equalish(e_2,e_4)
% 0.19/0.52           & ~equalish(e_3,e_1)
% 0.19/0.52           & ~equalish(e_3,e_2)
% 0.19/0.52           & equalish(e_3,e_3)
% 0.19/0.52           & ~equalish(e_3,e_4)
% 0.19/0.52           & ~equalish(e_4,e_1)
% 0.19/0.52           & ~equalish(e_4,e_2)
% 0.19/0.52           & ~equalish(e_4,e_3)
% 0.19/0.52           & equalish(e_4,e_4)
% 0.19/0.52  
% 0.19/0.52  ).
% 0.19/0.52  
% 0.19/0.52  tff(declare_product1,type,product1: $i * $i * $i > $o ).
% 0.19/0.52  tff(predicate_product1,axiom,
% 0.19/0.52             product1(e_1,e_1,e_1)
% 0.19/0.52           & ~product1(e_1,e_1,e_2)
% 0.19/0.52           & ~product1(e_1,e_1,e_3)
% 0.19/0.52           & ~product1(e_1,e_1,e_4)
% 0.19/0.52           & ~product1(e_1,e_2,e_1)
% 0.19/0.52           & ~product1(e_1,e_2,e_2)
% 0.19/0.52           & ~product1(e_1,e_2,e_3)
% 0.19/0.52           & product1(e_1,e_2,e_4)
% 0.19/0.52           & ~product1(e_1,e_3,e_1)
% 0.19/0.52           & product1(e_1,e_3,e_2)
% 0.19/0.52           & ~product1(e_1,e_3,e_3)
% 0.19/0.52           & ~product1(e_1,e_3,e_4)
% 0.19/0.52           & ~product1(e_1,e_4,e_1)
% 0.19/0.52           & ~product1(e_1,e_4,e_2)
% 0.19/0.52           & product1(e_1,e_4,e_3)
% 0.19/0.52           & ~product1(e_1,e_4,e_4)
% 0.19/0.52           & ~product1(e_2,e_1,e_1)
% 0.19/0.52           & ~product1(e_2,e_1,e_2)
% 0.19/0.52           & product1(e_2,e_1,e_3)
% 0.19/0.52           & ~product1(e_2,e_1,e_4)
% 0.19/0.52           & ~product1(e_2,e_2,e_1)
% 0.19/0.52           & product1(e_2,e_2,e_2)
% 0.19/0.52           & ~product1(e_2,e_2,e_3)
% 0.19/0.52           & ~product1(e_2,e_2,e_4)
% 0.19/0.52           & ~product1(e_2,e_3,e_1)
% 0.19/0.52           & ~product1(e_2,e_3,e_2)
% 0.19/0.52           & ~product1(e_2,e_3,e_3)
% 0.19/0.52           & product1(e_2,e_3,e_4)
% 0.19/0.52           & product1(e_2,e_4,e_1)
% 0.19/0.52           & ~product1(e_2,e_4,e_2)
% 0.19/0.52           & ~product1(e_2,e_4,e_3)
% 0.19/0.52           & ~product1(e_2,e_4,e_4)
% 0.19/0.52           & ~product1(e_3,e_1,e_1)
% 0.19/0.52           & ~product1(e_3,e_1,e_2)
% 0.19/0.52           & ~product1(e_3,e_1,e_3)
% 0.19/0.52           & product1(e_3,e_1,e_4)
% 0.19/0.52           & product1(e_3,e_2,e_1)
% 0.19/0.52           & ~product1(e_3,e_2,e_2)
% 0.19/0.52           & ~product1(e_3,e_2,e_3)
% 0.19/0.52           & ~product1(e_3,e_2,e_4)
% 0.19/0.52           & ~product1(e_3,e_3,e_1)
% 0.19/0.52           & ~product1(e_3,e_3,e_2)
% 0.19/0.52           & product1(e_3,e_3,e_3)
% 0.19/0.52           & ~product1(e_3,e_3,e_4)
% 0.19/0.52           & ~product1(e_3,e_4,e_1)
% 0.19/0.52           & product1(e_3,e_4,e_2)
% 0.19/0.52           & ~product1(e_3,e_4,e_3)
% 0.19/0.52           & ~product1(e_3,e_4,e_4)
% 0.19/0.52           & ~product1(e_4,e_1,e_1)
% 0.19/0.52           & product1(e_4,e_1,e_2)
% 0.19/0.52           & ~product1(e_4,e_1,e_3)
% 0.19/0.52           & ~product1(e_4,e_1,e_4)
% 0.19/0.52           & ~product1(e_4,e_2,e_1)
% 0.19/0.52           & ~product1(e_4,e_2,e_2)
% 0.19/0.52           & product1(e_4,e_2,e_3)
% 0.19/0.52           & ~product1(e_4,e_2,e_4)
% 0.19/0.52           & product1(e_4,e_3,e_1)
% 0.19/0.52           & ~product1(e_4,e_3,e_2)
% 0.19/0.52           & ~product1(e_4,e_3,e_3)
% 0.19/0.52           & ~product1(e_4,e_3,e_4)
% 0.19/0.52           & ~product1(e_4,e_4,e_1)
% 0.19/0.52           & ~product1(e_4,e_4,e_2)
% 0.19/0.52           & ~product1(e_4,e_4,e_3)
% 0.19/0.52           & product1(e_4,e_4,e_4)
% 0.19/0.52  
% 0.19/0.52  ).
% 0.19/0.52  
% 0.19/0.52  tff(declare_product2,type,product2: $i * $i * $i > $o ).
% 0.19/0.52  tff(predicate_product2,axiom,
% 0.19/0.52             product2(e_1,e_1,e_1)
% 0.19/0.52           & ~product2(e_1,e_1,e_2)
% 0.19/0.52           & ~product2(e_1,e_1,e_3)
% 0.19/0.52           & ~product2(e_1,e_1,e_4)
% 0.19/0.52           & ~product2(e_1,e_2,e_1)
% 0.19/0.52           & ~product2(e_1,e_2,e_2)
% 0.19/0.52           & product2(e_1,e_2,e_3)
% 0.19/0.52           & ~product2(e_1,e_2,e_4)
% 0.19/0.52           & ~product2(e_1,e_3,e_1)
% 0.19/0.52           & ~product2(e_1,e_3,e_2)
% 0.19/0.52           & ~product2(e_1,e_3,e_3)
% 0.19/0.52           & product2(e_1,e_3,e_4)
% 0.19/0.52           & ~product2(e_1,e_4,e_1)
% 0.19/0.52           & product2(e_1,e_4,e_2)
% 0.19/0.52           & ~product2(e_1,e_4,e_3)
% 0.19/0.52           & ~product2(e_1,e_4,e_4)
% 0.19/0.52           & ~product2(e_2,e_1,e_1)
% 0.19/0.52           & ~product2(e_2,e_1,e_2)
% 0.19/0.52           & ~product2(e_2,e_1,e_3)
% 0.19/0.52           & product2(e_2,e_1,e_4)
% 0.19/0.52           & ~product2(e_2,e_2,e_1)
% 0.19/0.52           & product2(e_2,e_2,e_2)
% 0.19/0.52           & ~product2(e_2,e_2,e_3)
% 0.19/0.52           & ~product2(e_2,e_2,e_4)
% 0.19/0.52           & product2(e_2,e_3,e_1)
% 0.19/0.52           & ~product2(e_2,e_3,e_2)
% 0.19/0.52           & ~product2(e_2,e_3,e_3)
% 0.19/0.52           & ~product2(e_2,e_3,e_4)
% 0.19/0.52           & ~product2(e_2,e_4,e_1)
% 0.19/0.52           & ~product2(e_2,e_4,e_2)
% 0.19/0.52           & product2(e_2,e_4,e_3)
% 0.19/0.52           & ~product2(e_2,e_4,e_4)
% 0.19/0.52           & ~product2(e_3,e_1,e_1)
% 0.19/0.52           & product2(e_3,e_1,e_2)
% 0.19/0.52           & ~product2(e_3,e_1,e_3)
% 0.19/0.52           & ~product2(e_3,e_1,e_4)
% 0.19/0.52           & ~product2(e_3,e_2,e_1)
% 0.19/0.52           & ~product2(e_3,e_2,e_2)
% 0.19/0.52           & ~product2(e_3,e_2,e_3)
% 0.19/0.52           & product2(e_3,e_2,e_4)
% 0.19/0.52           & ~product2(e_3,e_3,e_1)
% 0.19/0.52           & ~product2(e_3,e_3,e_2)
% 0.19/0.52           & product2(e_3,e_3,e_3)
% 0.19/0.52           & ~product2(e_3,e_3,e_4)
% 0.19/0.52           & product2(e_3,e_4,e_1)
% 0.19/0.52           & ~product2(e_3,e_4,e_2)
% 0.19/0.52           & ~product2(e_3,e_4,e_3)
% 0.19/0.52           & ~product2(e_3,e_4,e_4)
% 0.19/0.52           & ~product2(e_4,e_1,e_1)
% 0.19/0.52           & ~product2(e_4,e_1,e_2)
% 0.19/0.52           & product2(e_4,e_1,e_3)
% 0.19/0.52           & ~product2(e_4,e_1,e_4)
% 0.19/0.52           & product2(e_4,e_2,e_1)
% 0.19/0.52           & ~product2(e_4,e_2,e_2)
% 0.19/0.52           & ~product2(e_4,e_2,e_3)
% 0.19/0.52           & ~product2(e_4,e_2,e_4)
% 0.19/0.52           & ~product2(e_4,e_3,e_1)
% 0.19/0.52           & product2(e_4,e_3,e_2)
% 0.19/0.52           & ~product2(e_4,e_3,e_3)
% 0.19/0.52           & ~product2(e_4,e_3,e_4)
% 0.19/0.52           & ~product2(e_4,e_4,e_1)
% 0.19/0.52           & ~product2(e_4,e_4,e_2)
% 0.19/0.52           & ~product2(e_4,e_4,e_3)
% 0.19/0.52           & product2(e_4,e_4,e_4)
% 0.19/0.52  
% 0.19/0.52  ).
% 0.19/0.52  
% 0.19/0.52  % SZS output end FiniteModel for theBenchmark
% 0.19/0.52  % (30586)------------------------------
% 0.19/0.52  % (30586)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (30586)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (30586)Termination reason: Satisfiable
% 0.19/0.52  
% 0.19/0.52  % (30586)Memory used [KB]: 5884
% 0.19/0.52  % (30586)Time elapsed: 0.122 s
% 0.19/0.52  % (30586)Instructions burned: 16 (million)
% 0.19/0.52  % (30586)------------------------------
% 0.19/0.52  % (30586)------------------------------
% 0.19/0.52  % (30585)Success in time 0.17 s
%------------------------------------------------------------------------------